text:
Claudette J. Uher
DELAVAN - Claudette "Claudie" J. Uher, 78, passed away on Sunday February 25, 2018. She was born November 27, 1939 in Oak Park, IL to Charles and Dorothy Uher. She grew up in the Chicago area before moving to Delavan with her family in 1953. Claudie graduated from Delavan High School in 1957 and then went on to graduate from Beauty Culture and Cosmetology School in Milwaukee in 1958. Claudie moved to Burbank, CA with her mother and became a beautician for "the stars."
Claudie and her mother moved back to Delavan in 1976 to be closer to their family. She worked at Borg Instruments in Delavan until her retirement. Claudie loved to fish and camp wherever she lived. Due to her cosmetology training, Claudie became the family "barber", cutting anyone and everyone's hair wherever she happened to be. She always had her hair cutting tools with her. Claudie loved family gatherings and frequently hosted chicken barbecues at her home. Claudie had a love for fast cars and was frequently encouraged to race her favorite Road Runner. Claudie also loved her frequent gambling junkets with her sister.
Claudie is survived by her loving sister Dorothy (Verlyn) Fladten, step-brother Richard Conrad, Green Bay, WI and nieces, nephews, great nephews and great-great nieces. Her parents and her three pets that she considered her children, Toby, Mindy and Muffy preceded her in death.
Memorials or donations may be made to the Lakeland Animal Shelter.
A visitation will be held Thursday March 1, 2018 from 9:00am – 11:00am at Luther Memorial Evangelical Lutheran Church at 910 E. Geneva St. Delavan, WI followed by a funeral service at 11:00am. A light luncheon at the church will follow the service.
Monroe Funeral Home in Delavan is assisting the family. Please visit us at delavanfuneralhome.com
Newer PostMary J. Wrzesinski
Older PostPhyllis Rae Loback


text:
AP Joins Online Syndication Network
AP Digital has signed a deal with Voxant, the Viral Syndication Network, to make a selection of AP content (including articles, photographs and news videos) available to thousands of Web sites and blogs. The sites can access the AP content by going to www.thenewsroom.com.
"The 'long tail' of the Web has become a cliche, but Voxant really does offer a convenient way to reach the millions of people who are only interested in a fraction of AP's content," said Jane Seagrave, vice president and director of AP Digital, in a statement. "Voxant provides a vehicle for AP to allow non- traditional customers to post individual stories, photos and video clips while maintaining control over its intellectual property."
← Hollinger Inc. Settles Disputes With Former Directors
Controversy Costs Cobler, Colorado Editor, Job at Poynter →

redpajama_set_name: RedPajamaCommonCrawl


text:
Will EU subsidy reforms be enough to encourage greener farming?
Carolyn Lebel
| 15th October 2012
Nearly 50% of the EU budget goes into European agriculture. But climate change, soil erosion and other environmental pressures call for radical changes in farming practices. Carolyn Lebel reports on the urgent need for greener subsidies.
modern agriculture has become a menace to itself
In 2011, food prices reached an all-time high, pushing millions more people into poverty worldwide and playing a part in the revolts that spread across the Arab world. The United States meanwhile was grappling with a record number of extreme weather events, including severe flooding in New York and Pennsylvania caused by Tropical Storm Lee. Two strings of events united by a common figure.
Fifty-five billion.
In dollars, this is how much Arab Spring is estimated to have cost countries like Libya, Syria, Egypt, Tunisia, Bahrain and Yemen, according to the International Monetary Fund, (IMF). It is also the tally of damages caused by a record number of billion-dollar weather disasters that struck the US last year. But these events are also a sign of times to come. Climate change is fated to bring more severe storms and extreme weather, according to the Intergovernmental Panel on Climate Change (IPCC), causing disruptions on the global food market and exacerbating the forces that already leave 900 million people hungry around the world.
Founders of the European Union learnt half a century ago what it meant to govern the hungry. Emerging from over a decade of severe food shortages with farmlands ravaged from the war, six countries - Belgium, France, Germany, Italy, Luxembourg and the Netherlands - came together to create the Common Agricultural Policy (CAP), an ambitious campaign to modernise farms, increase food production, protect the livelihoods of farmers and ultimately secure its own provisions.
Today, the policy carries it's own hefty €55 billion price tag - a budget that consumes more than 40% of the EU total. But compared with the fallout from food riots or extreme weather disasters, it could be argued a worthwhile investment - providing it was designed to help European farmers tackle the immense challenges on the horizon.
With its fertile lands and EU subsidies, France was able to secure its status as an agricultural powerhouse over the last half century, emerging among the world's leading producers on an increasingly globalised food market. There are about 500,000 farms in France, covering more than half of the country's territory. Anywhere there is not a city or village, factory or forest, in other words, there is farmland. The vineyards of the Haut Vaucluse, the cornfields of Brittany, the vast cereal plains that stretch before you as you exit Paris to the south - these landscapes shape the countryside, deeply defining the DNA of each territory. But one needn't visit France to get a taste of its regions. Bordeaux's and Champagne's have become icons of the country's finest.
But in France as elsewhere, farmlands largely make up what we call the environment, and intensive farming practices spurred by the CAP have exacted their own costs -- beyond the billions handed out every year. Over the past three decades, Europe has lost about half of its farmland birds, while in England species such as the grey partridge have all but disappeared. Pesticides and monocultures are meanwhile, among a host of factors linked with the alarming decline of bees, putting in peril about a third of our food crops. And as French farmers worried over the severe droughts that were drying up aquifers this past winter, the country was being sanctioned by the European Court for insufficient efforts in the battle against water pollution caused by industrial farming. By depleting the very foundations upon which it depends - water, soil and pollinators - modern agriculture has become a menace to itself.
The EU's attempt to redress the worst of these impacts is contained within what is referred to as the second pillar of CAP - a subsidy that rewards farmers around important drinking water catchment areas for adopting greener farming practices, or for leaving their land fallow. But of the €9 billion of CAP aid received by France, these incentives represent only a small fraction.
The next reform on the table for 2013 would push these kinds of eco-friendly farming practices into the first pillar of CAP. Currently, this first pillar makes up 80% of the total budget, and essentially pays a fixed annual sum to farmers and landowners for little more than owning farmland. This greening of CAP, as it's referred to, would bind 30% of a farmer's annual payment to three basic environmental criteria - the diversification of crops, the maintenance of permanent pastures and the introduction of "green infrastructures" such as trees, hedges or fallow land.
"There are a number of problems with the policy that we are trying to address with this reform," said a representative from the European Commission. "We want more equity in the distribution of income support to farmers. We also want to promote a long-term approach in the use of natural resources. The greening measures are intended to discourage monocultures and encourage more extensive animal rearing on pastures. We are really trying to bring forward an agricultural policy oriented towards long term competitiveness, based on quality products."
Despite good intentions however, the CAP is far from a nimble process able to respond to a pressing need for change. Between farmers and consumers are powerful companies all along the food chain with a vested interest in a piece of the pie. The three top recipients in France for example, netted between them 500 million euros from 2004 and 2009. They include two sugar companies and a poultry exporter called Doux.
These subsidies are the remains of a policy that aimed to rid the EU of its surplus production - the notorious mountains of butter and lakes of milk - through subsidies for export. And while they are currently being phased out, it's hard to imagine a time when it seemed a good idea to use public funds, to the order of €55 million euros per year, to help a company export battery-farmed chicken nuggets to countries like Saudi Arabia, Qatar and the United Arab Emirates, Doux's primary export markets.
"This kind of subsidy is part of the old CAP that is steadily disappearing," said a representative from the European Union. "It represents less than one percent of the budget today."
Such residual cases however have become emblematic of a policy that's long been perceived to tip in favour of those who need it less. It is estimated that 80% of subsidies are handed out to just 20% of recipients. And at a time when high wheat prices helped spark food riots around the world, farmers in some of France's grainbelts for example, received an average of €50,000 in subsidies - twice the national average.
"The ones currently getting the most money from the CAP, are also getting a better price for their output," says Arnaud Gauffier of the WWF, (World Wide Fund for Nature). "It'll be jackpot for cereal producers this year."
Some of the biggest payments meanwhile are given to wealthy landowners whose farming credentials are unlikely to extend beyond a hose and the kitchen garden. Most famously, the Queen has received at least €8.1 million in farm subsidies since 2004, according to data compiled by independent watchdog Farmsubsidy. In France, other improbable recipients include a few golf courses and airports.
But elsewhere, many of Europe's farmers are struggling to survive.
Live Better, Live Cheaper
"Can you really be low cost and responsible?" asks one supermarket chain in big bold letters in a full-page newspaper advertisement that signs off with the mantra, "Live better. Live cheaper."
No business would survive for very long if it consistently sold its products below what they cost to produce. Yet with the exception of wheat producers in recent years, this is the reality for many European farmers.
According to Samuel Ferret, who coordinates an alliance of environmental groups interested in the reform of the CAP, French farmers rely on CAP subsidies for about 40% of their total income. For beef producers, the proportion is higher, with 90% of revenues coming from the EU, according to Ferret. Many farms would simply fold without subsidies, and still others don't make it. France loses a farm every 25 minutes, and the rate of suicide in the sector is significant. The financial vulnerably of our food growers is largely cloaked behind the neatly stocked shelves of our supermarkets.
"There are 500,000 farms, 10,000 agrofood companies and five centralized purchasers in France," highlights Patrick Ferrère, Director General of the FNSEA, France's most powerful agricultural union. "You see the concentration? A single factory or farm doesn't carry much weight. Today, the owner's of France's largest supermarket chains are among the richest people in the country. They are the ones who dictate prices," he said.
For critics though, the FNSEA is hardly thought to be a champion of across-the-board "égalité". During the last CAP reform, which saw the introduction of single payments tied to a farm's size, France opted to base its payments on what farmers already received, at a time when the EU supported only a limited number of staples such as milk, wheat, butter and sugar. Critics say that this approach - based on so-called historic references - has only perpetuated stark inequalities across farming sectors.
"Converging [the value of a hectare across all farms] must be done over a long period in order to recover on the market what is lost in subsidies," says Ferrère about the timetable set by the European Union for phasing out historic references. France has already stated it would like to see the deadline for this phasing out pushed back.
But these latest discords are simply the perpetuating, unintended consequences of a 50-year-old, post-war attempt by the EU to secure its most basic staples. "It was pernicious. But right from the start," Ferrère acknowledges.
That so much money went into stimulating the production of the same staples year after year has also had unintended consequences on the environment. And the European Commission's proposal that would compel farmers to diversify crops and maintain permanent pastures - the greening measures on the table for the next reform - attempt to redress the worst environmental impacts of monocultures and factory farms.
One of the more notorious examples of these two practices combined is found in Brittany, where monoculture corn plantations are used to supply factory pig farms. For Marc Dufumier, an agronomist with AgroParisTech Institute, it's rather what is not present in the farmlands of Brittany that has become emblematic of the CAP's failure.
"Incentives were given to produce cereals, sugar and milk powder, which means that farmers were dissuaded from producing plant proteins," explains the agronomist. "France and Europe import three-quarters of their soya from Brazil. We import soya to feed animals in concentrated feedlots. The excess nitrogen that fertilises green algae off Brittany's shores - we went looking for it in Brazil!" he said.
From tides of the green algae that spoil some of the prettiest beaches in Brittany, to the financial vulnerability of farmers - these hidden costs of our food system are what economists refer to as externalities. Put otherwise, what consumers are not paying for at the checkout counter, they are paying for further down the line in the form of higher taxes - used to fund CAP subsidies aimed at supplementing a farmer's income, but also to clean up the shores of Brittany. To cover the rising cost of tap water, as new treatment facilities must be installed, or as wells must be dug deeper and deeper to source untainted water from aquifers. Or still, to remedy the uncertain long term effects of the pesticide exposure on health, from infertility and birth defects to nerve damage and cancer.
Greening Economics
Of the country's half million farmers, Quentin Delachapelle would be considered one of the fortunate minority. His 150,000-hectare farm in Champagne-Ardenne sits in a fertile grainbelt, a region that receives the most in CAP aid in France.
But despite the relatively comfortable financial position of farmers here, the Champagne-Ardenne's largely rural population has been steadily shrinking. Characterised by weak fertility rates and an ageing population, the region has become, over the past 20 years, the least populated in France. Delachapelle does not evoke this massive rural exodus when he speaks of his hesitation to take over the family farm a few years ago.
"I wanted to show that things could be done differently," says the farmer, trained in environmental sciences. "Even here."
The job has become for Delachapelle, a massive field experiment. In just three years, he's reduced pesticide use by half. He's done so by introducing new crops in rotations, reducing synthetic fertilisers that leave crops more vulnerable to disease, and introducing the famous nitrogen-binding legumes - the so-called green fertilisers. "Five is the minimum," he says, referring the European Commission's crop diversification measure that sets the bar at three per farm - but not in rotation. "In my area, the measure won't change a thing. On 80% of the territory in France, farms have already introduced three crops," he says.
The Champagne-Ardenne region borders Brussels to the east, and Delachapelle has just returned from a meeting at the European Commission. The farmer wants Brussels to know that his methods are bearing fruit. The findings turn conventional farming economics on its head. Yields have dropped slightly, but the farm earns about €150 per hectare more now than when he took it over a few years ago.
The possibilities of cutting down pesticide use, such as on Delachapelle's farm, have been highlighted in the past by the French National Institute for Agricultural Research. In 2010, the Institute released a study suggesting that a reduction of pesticides by 30% countrywide was possible, but only with substantial changes in practices. For France's grain producers, who use the most pesticides, the study concluded that profits would be little affected based on the lower 2006 prices, while yields would drop by about 6%.
Delachapelle's experiments haven't been without their risks though. And self-doubt. The days when he sees his neighbours set out to spray their fields and wonders whether he's not making a serious mistake. "I'm forced to do things progressively because there's no support available for this kind of transition. What I'm doing isn't recognised by the EU," says the farmer, who would like to go organic but simply can't afford to hire the extra help that an organic farm would require.
With it's aptly named streets and squares - Rue des bouchers (Butchers Street), Rue du marché aux porcs (Pork Market Street), Place du nouveau marché au grains (The New Grain Market Square) - Brussels is the nerve centre for food and farms across Europe. Here, countless lobbyists from industries all along the food chain have taken root, from animal feed and agrofuel companies to biotech start-ups and pesticide producers. As they make their rounds through the European Commission's advisory committees and panels, at informal lunches and over a game of golf, they will have prepared a compelling story backed with convincing numbers. Much like Delachapelle, but finessed with the art of influence. This is a billion-euro business in Brussels, according to the Corporate Europe Observatory.
At the foot of the European Commission's Agriculture and Rural Development building, Rue de la Loi, two vagrants are camped before a massive poster that reads "Agriculture, je t'aime." The interests of farmers and consumers are being brokered just beyond, inside.
This article has been edited by its author, who is a freelance journalist.


text:
Het American Surety Building is een wolkenkrabber in New York aan Broadway, tegenover de Trinity Church. Het gebouw opende zijn deuren in 1896 en was ontworpen door Bruce Price in de beaux-arts-stijl. Destijds was het met een hoogte van 92 meter en twintig verdiepingen een van de hoogste kantoorgebouwen van de stad. In de jaren 1920-1922 werd het gebouw uitgebreid onder leiding van de architect Herman Lea Meader. Hij verbreedde de toren van zeven naar elf traveeën en voegde zes verdiepingen toe, waarmee de totale hoogte uitkwam op 103 meter.

Wolkenkrabber in New York (stad)
Kantoorgebouw in de Verenigde Staten
Beaux-artsbouwwerk

redpajama_set_name: RedPajamaWikipedia


Alexandria, VA –Americans are more conscious than ever about properly disposing of, or recycling plastic containers and other materials. The recreational fishing industry, through KeepAmericaFishing®, its grassroots angler advocacy campaign, is asking anglers to add their worn out soft plastic baits to that list.
The new Pitch It campaign was the direct result of a proposed legislative ban in Maine on the sale and use of soft plastic baits. While legislators were contending that baits discarded in our waterways were harming fish populations, the American Sportfishing Association (ASA) is not aware of any study done in the wild showing the detrimental impact of soft baits. Years of laboratory tests on soft baits have shown that most fish regurgitate or pass them without harm.
While there are many environmental factors that have an impact on lakes and streams, ASA contends that, regarding soft plastic baits, what really exists is a litter problem. As the voice for the recreational fishing industry, ASA and KeepAmericaFishing developed the Pitch It campaign to address this issue, educate anglers on proper disposal methods, and influence a positive change.
Ogilvie also said that ASA and KeepAmericaFishing believe that building awareness and educating anglers is the appropriate action to stop other states that may consider introducing their own legislative actions.
For more information, contact [email protected] or visit the Pitch It microsite at http://www.pledgetopitchit.org/.
Now that you know about Pledge to Pitch It, find out why people are fishing for cars in the Merrimack River.


text:
Карл Мартін Лауер (,   —  ) — німецький легкоатлет, який спеціалізувався в бігу на короткі дистанції.

Досягнення

Олімпійський чемпіон-1960 в естафеті 4×100 метрів.

Двічі був четвертим на Олімпіадах у бігу на 110 метрів з бар'єрами (1956, 1960).

П'яте місце у десятиборстві на Олімпіаді-1956.

Чемпіон Європи-1958 з бігу на 110 метрів з бар'єрами.

Ексрекордсмен світу та Європи з бігу на 110 та 200 метрів з бар'єрами, а також в естафеті 4×100 метрів.

По завершенні спортивної кар'єри був співаком у стилі кантрі, записав більше 40 хітів. Загальний наклад його записів перевищував 2 мільйони копій.

На Іграх-1964 працював журналістом. На Олімпіаді-1972 представляв компанію «Junghans», постачальника хронометричного обладнання на змаганнях Ігор.

Помер, маючи 82 роки.

Основні міжнародні виступи

Визнання

 Спортсмен року ФРН (1959)
 Кращий легкоатлет світу за версією журнала «Track & Field News» (1959)
 Член Зали слави німецького спорту (2011)

Примітки

Джерела

 Довідник з хронології світових рекордів  на сайті Світової легкої атлетики
 Хронологія рекордів Європи з бігу на 110 метрів з бар'єрами серед чоловіків  на сайті trackfield.brinkster.net
 Хронологія рекордів Європи з естафетного бігу 4×100 метрів серед чоловіків  на сайті trackfield.brinkster.net

Німецькі бігуни на короткі дистанції
Німецькі бігуни з бар'єрами
Німецькі багатоборці
Легкоатлети на літніх Олімпійських іграх 1956
Легкоатлети на літніх Олімпійських іграх 1960
Чемпіони літніх Олімпійських ігор 1960
Німецькі олімпійські чемпіони
Чемпіони Європи з легкої атлетики
Рекордсмени світу з легкої атлетики
Рекордсмени Європи з легкої атлетики
Німецькі співаки
Призери чемпіонатів Європи з легкої атлетики
Нагороджені Срібним лавровим листом


As a Project Manager within Talent domain, you will partner with product and development teams to plan, manage execution, and deliver on product releases. Qualified candidates will exercise leadership and organizational management skills to ensure all assigned projects meet functional and quality requirements within committed timelines. Effective communication and negotiation skills are required.
Qualified candidates must have solid experience managing technical projects; an ability to identify and manage project risks and dependencies (involving multiple teams across the organization); and, an ability to identify process gaps and implement changes that will help the product teams become more productive and predictable.
You will partner with product owners, development owners, and technical leads to plan and manage execution of product releases. You understand that estimates are estimates and sometimes they can change, when things don't go as expected, you replan and reset expectations. You are familiar with iterative software release cycles and have experience in Kanban and agile software development.
You are a savvy facilitator and motivator who is comfortable working with technical teams that may be situated in different geographic regions. You work hard to ensure collaboration, communication, and visibility.
You are motivated to deliver great products and want to see the continued acceptance and success of those products. To that end you work with the project team to constantly build on and improve our processes and practices to facilitate ongoing, successful delivery of great products.
Experience delivering software products to market.
Experienced creating project dashboards in Jira, Smartsheets, Confluence, and Google. And, reports and notebooks in Aha!


text:
The UConn-Tennessee rivalry started with a phone call from an ESPN employee. Here's how it played out.
Vigil for slain members of the Todt family to be held Friday night in Colchester
UConn great Maya Moore to sit out second-straight WNBA season, 2020 Olympics but isn't ready to retire
Coventry police sgt. on leave while department investigates his alleged inappropriate conversations with teenage girl
Community mourns sudden death of popular Wethersfield High School English teacher
Editorial: New leadership needed at the Capitol
By Editorial
Senate President Pro Tem Martin M. Looney (D-New Haven), center, is joined by, from left, House Speaker Joe Aresimowicz (D-Southington), Senate Republican Leader Len Fasano (R-New Haven) and House Republican Minority Leader Themis Klarides (R-Derby) at a press conference. (Patrick Raycraft / Hartford Courant)
Democrats will have firm control over both chambers of the General Assembly when it convenes early next year, but without some other significant changes, prospects are dim for any real progress on the most pressing issues.
If current leadership continues, the Senate president pro tempore will be New Haven Democrat Martin Looney, again. The Senate minority leader will be North Haven Republican Len Fasano, again. The speaker of the House will be Berlin Democrat Joe Aresimowicz, again. The House minority leader will be Derby Republican Themis Klarides, again. Mr. Looney was re-elected into his leadership post Thursday afternoon.
They had their chance to lead the legislature and achieved little, especially concerning the state budget. Their time is up. We ask these legislative leaders to consider handing off power to people with new ideas and a willingness to work together.
Last year, Connecticut saw how dysfunctional the General Assembly had become.
[Opinion] Editorial: Meriden police were caught on video beating a suspect. The decision not to investigate undermines the public trust and must be reversed. »
Republicans tried to pass a budget that made laughable assumptions about a future deal with labor unions. But at least that plan briefly achieved liftoff. The Democrats, even though they were the majority, couldn't get a budget out of their own appropriations committee. What they finally produced, months late, was a head-shaking hodgepodge.
The legislature has known for years that the state has a serious money problem. They've done little to solve it. And, at least in one case, constituents appear to have lost faith.
Editorial: Meriden police were caught on video beating a suspect. The decision not to investigate undermines the public trust and must be reversed.
Legislature right to weigh banning Native American nicknames
The world is burning. Does Connecticut care?
Mr. Aresimowicz did not receive anything resembling a vote of confidence from his own district. Only a few dozen votes separate him from his Republican challenger, Michael Gagliardi, and a recount is scheduled.
Mr. Gagliardi wasn't even a candidate until mid-October, when the previously endorsed Republican, Steve Baleshiski, quit the race. Any absentee votes for him simply don't count for anyone. They could have been enough to tip the race.
The legislature tends to treat its leadership positions as inherited titles. Do enough time, bring in enough votes and money, and you get to hold the gavel. But that's no way to select leaders. The legislature would be much better off turning to people with no fealty to the past but with bold ideas and the ability to lead — to have a vision, to inspire dedication to achieving it, and to working the organizational levers so that it comes to pass.
The leadership positions need people with the right skills for the job. These four have had years to get it right. They couldn't.
Len Fasano
Hartford police lieutenant's internet dust-up doesn't belong in court
President Trump's climate change skepticism hurts us all


Alton Towers has just launched a MASSIVE recruitment drive - with many roles on offer.
New year, new job? If you are thinking of changing careers or looking for your first job, then Alton Towers may be able to help.
And that's because the Staffordshire tourist attraction has just launched a MASSIVE recruitment drive - with many varying roles on offer.
Included in the list of jobs is a conference & events host, a lifeguard and security officer. There's also the chance to work out on the park as a ride operator or ride host or in the catering department as a food & beverage host, a hotel restaurant and a bar host or a senior head chef.
If none of those take your fancy, have a look below to see if there is something that suits you.
Visit the Alton Towers website here to see a full list of the jobs available.


text:
Protein Switch: A game changing technology
July 30, 2021 February 11, 2021 by Dave
Illustration of a biosensor protein switch detecting a targeted molecule and glowing.
The development of CRISPR has been a huge game changing technology. The emergence of Protein Switches could also be in the same league.
Published in Nature is the draft of a paper titled "De novo design of modular and tunable protein biosensors". It still needs to go though proof reading and typesetting. Nature however have made the decision to publish this early draft as soon as possible.
The Abstract
The full text of the abstract is as follows ..
Naturally occurring protein switches have been repurposed for developing novel biosensors and reporters for cellular and clinical applications1, but the number of such switches is limited, and engineering them is often challenging as each is different. Here, we show that a very general class of protein-based biosensors can be created by inverting the flow of information through de novo designed protein switches in which binding of a peptide key triggers biological outputs of interest2. The designed sensors are modular molecular devices with a closed dark state and an open luminescent state; binding of the analyte of interest drives switching from the closed to the open state. Because the sensor is based purely on thermodynamic coupling of analyte binding to sensor activation, only one target binding domain is required, which simplifies sensor design and allows direct readout in solution. We demonstrate the modularity of this platform by creating biosensors that, with little optimization, sensitively detect the anti-apoptosis protein Bcl-2, the IgG1 Fc domain, the Her2 receptor, and Botulinum neurotoxin B, as well as biosensors for cardiac Troponin I and an anti-Hepatitis B virus (HBV) antibody that achieve the sub-nanomolar sensitivity necessary to detect clinically relevant concentrations of these molecules. Given the current need for diagnostic tools for tracking COVID-193, we used the approach to design sensors of antibodies against SARS-CoV-2 protein epitopes and of the receptor-binding domain (RBD) of the SARS-CoV-2 Spike protein. The latter, which incorporates a de novo designed RBD binder4, has a limit of detection of 15 pM and a signal over background of over 50-fold. The modularity and sensitivity of the platform should enable the rapid construction of sensors for a wide range of analytes and highlights the power of de novo protein design to create multi-state protein systems with new and useful functions.
For some the big headline here is that they have developed a way to detect COVID-19 using protein switches.
This is highly significant, not because it involves COVID-19 detection, but rather because of the emergence of this new technology itself.
The Press Release
The actual press release on this (see here) plays the COVID-19 card…
Scientists have created a new way to detect the proteins that make up the pandemic coronavirus, as well as antibodies against it. They designed protein-based biosensors that glow when mixed with components of the virus or specific COVID-19 antibodies. This breakthrough could enable faster and more widespread testing in the near future. The research appears in Nature.
It then proceeds to expand upon how hard and costly testing for COVID-19 is and that this makes all that a lot easier. COVID … COVID … COVID … and how this makes detection a lot easier …
"We have shown in the lab that these new sensors can readily detect virus proteins or antibodies in simulated nasal fluid or donated serum, said Baker. "Our next goal is to ensure they can be used reliably in a diagnostic setting. This work illustrates the power of de novo protein design to create molecular devices from scratch with new and useful functions."
The real significance, the truly game changer here, is not COVID detection at all.
There now exists a new very powerful tool within the bio-technology toolbox.
Well yes, we have had protein switches since 2019. That was when scientists reported the design and creation of the first completely artificial protein switch. That went almost unnoticed. But as Steve Novella points out …
but looking back this may have been as momentous as the development of CRISPR as a tool for genetic engineering. It's hard to tell how much of a long term impact it will have – but just as CRISPR (and related tools of genetic engineering) gives us unprecedented control over a fundamental aspect of biology (genetics), protein switches also potentially give us a similar level of control, arguably more direct.
What exactly is a Protein Switch?
A protein has a three dimensional structure. A protein switch is a protein that will change this configuration when it binds with something else. If you change its configuration then you also change what it does.
What this new Nature study reports is that they have created a protein switch that operates as follows
If it binds with the COVID-19 protein then it will alter its configuration and glow with bioluminescence
If there is no COVID-19 protein, then it retains its off state and does not glow
Yes, lots more testing will be needed, but hit pause and park COVID-19 for a moment.
There now exists a way to create a protein switch that can be used to potentially detect anything of interest very easily. This is of course why they used the term "biosensors", because this is exactly what this is.
Translation: Medical diagnostics has just made a huge leap forward.
The real significance
The really big deal here is not this specific COVID-19 application of a protein switch, but the modular design of what they have done to achieve that. This is a reusable tool that has many different applications …
Beyond COVID-19, the team also showed that similar biosensors could be designed to detect medically relevant human proteins such as Her2 (a biomarker and therapy target for some forms of breast cancer) and Bcl-2 (which has clinical significance in lymphoma and some other cancers), as well as a bacterial toxin and antibodies that target hepatitis B virus.
.@stevennovella on the new technique for designing protein switches and its potential for COVID testing.#BioSensors #ProteinSwitches #BioTechnology #COVIDtesting #PCR #CRISPRhttps://t.co/rQ7t15kEwm pic.twitter.com/BB3gSsEgLl
— Cara SM, Vaccinated (@CaraSantaMaria) February 4, 2021
Categories biology, Medicine, science Tags biosensors, covid, protein switch, study
Tectonic Plates: A billion years in 40 seconds
Darwin Day 2021 – #DarwinDay


text:
Levitt Shell 'goes dark,' launches classic concert series online
John Beifuss
The Levitt Shell has "hit the pause button" and will "go dark until further notice," executive director Natalie Wilson has announced.
In the interim, the Shell on Friday will launch a weekly series of "virtual" concerts, to provide music at home for fans who had been looking forward to the spring performance series at the historic Overton Park venue.
"In light of everything that has transpired due to the Coronavirus, it's our responsibility to hit the pause button," said Wilson, noting that the venue's April 14 fundraising concert featuring Wilco already had been canceled. "In the interest of community health, we are making the sensible choice to go dark until further notice."
To make up for lost revenue, the Shell this week also announced a fundraising campaign with a goal of $140,000.
Although any amount, obviously, is welcome, Wilson said the goal will be met if 2,800 people — a number that represents the average lawn attendance for a Shell concert — each donates at least $50. She also suggested Shell supporters might consider donating $10 for each show on the announced schedule of events they had planned to attend. (A "Donate" link can be found at levittshell.org, which also hosts clips from Shell concerts featuring the Cowboy Junkies, Gary Clark Jr. and other artists.)
Built in 1936 as part of the federal government's "New Deal" program of community work projects organized in response to the Depression, the Shell is perhaps most famous as the site of Elvis Presley's first paid concert performance, on July 30, 1954, when Elvis opened for Slim Whitman.
Other performers who took the park stage through the years included Johnny Cash, Rufus Thomas, Wanda Jackson, Little Feat, Furry Lewis and even Blue Oyster Cult.
Rebranded as the Levitt Shell in 2007, the outdoor venue has become one of the city's most popular, reliable, family-appropriate and wallet-friendly (most shows are free) performance spaces.
Sponsored by Orion Federal Credit Union, the "Orion Virtual Concert Series" will stream at 7:30 p.m. each Friday through May 1 on the Levitt Shell Facebook page. Each show, according to Wilson, will be a replay of a particularly exciting or memorable Levitt Shell concert.
The series begins Friday with the stream of a July 21, 2019, performance by Philadelphia-reared, Nashville-based soul-blues artist Devon Gilfillian. Future streaming concerts include a 2019 show by Jenny & the Mexicats (4/17); a 2016 performance by Memphis funk-rock-hip-hop fusionists Big Ass Truck (4/24); and a 2017 stomper by Canadian "world music" specialists Delhi 2 Dublin (5/1), a band that mashes up Celtic music, reggae, electronic music and Indian Bhangra, among other genres.


text:
Were you injured in a vehicle crash in St George or the surrounding area?
Would you like to have an experienced injury attorney help you with your case?
Do you prefer to work directly with an attorney instead of support staff?
St George injury attorney, Rex Bush, has over 35 years experience helping injured persons, and works directly with his clients.
Mr Bush has been honored by Utah Business Magazine as part of the Utah Legal Elite in the category of Personal Injury. He has published more than 50 articles on personal injury subjects and regularly teaches other attorneys about personal injury matters.
CONTACT US NOW - Fill out the form below for a FREE Consultation
321 North Mall Drive, R-234
St. George, Utah 84790
bushlawfirm@gmail.com
Your Utah Attorney in St George
Over 35 years of SUCCESS
Using a proven system, developed in our office for over 35 years, using checklists and creative problem solving, we work toward identifying all of your injuries, so they can be diagnosed and treated. We package all your information into a 'settlement brochure' and work toward a settlement of your case. Our goal is to see that your settlement is maximal based on knowledge of local settlement values. We are only compensated by a pre-agreed upon percentage of the settlement.
Rex Bush was inspired to practice personal injury law following the loss of his father in a vehicle crash. It was a personal injury attorney who assisted his mother to bring a claim against the at fault party. The settlement from that case was valuable to Mr. Bush's mother in taking care of her six children.
After handling his first injury case in 1984, shortly thereafter, he dedicated his practice to helping victims injured due to the carelessness of others.
Mr Bush and his wife, Jan, have worked together in the law firm for over 34 years and enjoy spending time with their children and grandchildren whenever possible.
Mr Bush pictured here with two of his older grandchildren, Carter and Kaden, who when young, came to the office often to see their papa and gma while they were working. (To learn more about Mr Bush click the Attorney tab at the top of this page)
This website answers questions such as:
what to do after a vehicle crash?
how do you get your vehicle fixed?
how do you get a rental car?
what are no-fault/PIP benefits?
how do you get your medical bills paid?
how do you get your lost wages paid?
how do you get compensated for pain and suffering?
what is the Utah personal injury threshold?
should you use an attorney?
how do you maximize your compensation?
how long do you have to file your claim?
How To Quickly and Easily Find Out If You Have a Personal Injury Case
Each firm has its own screening criteria for cases involving personal injury
Here are ours:
Was someone injured?
Was this injury caused by the negligence of another?
Was the property damage (vehicle crash cases) sufficient that a jury would believe the injuries were caused by the crash?
In some cases, injury isn't enough. In Utah, if you get hurt in a car crash, you must exceed a "threshold" to get a settlement for pain and suffering. The threshold for personal injury in Utah may be exceeded by meeting just one of the following requirements:
medical bills in excess of a certain amount;
permanent impairment;
permanent disability;
disfigurement; or
More about each of these criteria is provided in the following paragraphs.
Medical Bills In Excess of a Certain Amount
Some states allow a claim for non-economic damages once the injured person has incurred medical bills over a certain amount. For example, in Utah, $3,000 is the magic number. The bills must have been necessary and caused by the crash as well as reasonable in price.
Permanent Impairment from Personal Injury
Threshold can also be met by showing a permanent "impairment" from your personal injury.
Permanent Disability
Permanent Disability: A useful definition of disability is "an alteration of an individual's capacity to meet personal, social, or occupational demands because of an impairment." An individual can be impaired significantly and have no disability, while another person can be quite disabled with only limited impairment.
A concert pianist might have a relatively minor injury to a digital nerve that severely limits his/her ability to perform basic work activities (playing difficult piano concertos).
Disfigurement and Personal Injury
Utah allows a claim for non-economic damages if the injured person has sustained disfigurement. Sometimes "significant disfigurement" is required. Disfigurement usually means a "scar."
Threshold in car crash cases can also be met by the death of the injured person. The death would have to be caused by the crash.
Threshold Only Applies To Non-Economic Injuries
You can make a claim for medical expenses or lost income and you don't have to meet the threshold requirement on your claim for personal injury if you are seeking only economic damages.
Was this injury caused by negligence of another?
If the other driver ran a red light or stop sign or rear ended you, he was probably negligent.
Now, let's say you were only partly at fault, maybe 20%, and another driver had the remaining 80% of the fault. May you recover? Yes, but your personal injury settlement would be reduced by the 20% of your fault.
Was the Property Damage Sufficient That a Jury Would Believe the Injuries Were Caused by the Crash?
Juries have shown an unwillingness to award money for personal injury if the car doesn't show much damage. If a vehicle has no visible damage or a repair bill of less than $2,000 it is hard to get a fair recovery on an injury case.
Bush Law Firm Testimonials
What Clients and other Attorneys Say About Us
"We have greatly appreciated the caring and professional manner in which Rex Bush has handled our personal injury case. He has been open and honest, answering our questions, offering suggestions concerning decisions in our case. It has been a very stressful time but only a fraction as stressful as it could have been without the help of Rex. We couldn't be more pleased with the service!" CP, WVC, UT
"I was most impressed with the way Rex started on the case immediately. He had a very impressive binder in which he kept many pictures and documents. I have worked with several attorneys on various matters including business matters and divorce. Rex's professionalism and responsiveness has been far superior and the results were, in my case, very satisfactory. Rex kept right on top of my case, kept me informed and never gave up until the last dollar was accounted for" DD, Orem, UT
"I appreciate your help with my auto vs. motorcycle accident. I was very nervous to use an attorney ... you talked to me like I mattered. You gave me advice and let me know your opinion without charging me for it. I had prayed for guidance, and Bush Law Firm just felt right.
Was it worth paying the attorney fee? YES!!!!!!!!! Thank you Rex for your honesty, and for restoring (in part) my opinion of attorneys.  Thanks again, sincerely," SM, WJ, UT
"I have had a lot of experiences with attorneys and you're a thousand times better than dealing with other attorneys I've dealt with. You call me back. You follow up. You call me to see how things are going." DS, SLC, UT
"Hey, sorry it took me so long to reply, I really really appreciate you doing that for me. It was a huge source of stress, thank you thank you thank you!!" CW, WJ, UT
"I was most pleased with Mr Bush's honesty, integrity and professionalism." DS, SJ, UT
"Awww. Thank you so much Rex. You have been very helpful in this entire process. I couldn't have done it without you. Thanks for everything!" LV, WVC, UT
"I would just like to confirm receipt of the payment cheque and to say once again how grateful I am for all of your help in this matter." LM, United Kingdom
"Hiring Bush Law Firm gave me peace of mind." JB
"I was most pleased with the communication of my case with me as well as my reduced stress. You're all fabulous to work with!" KG
"Mr Bush took the time to explain things to me; he answered my questions and was very helpful.
I thought he did a fantastic job!" SJ
"Very professional and most important--friendly!" JL
"I have spoken with many attorney offices in the past and none of them were as friendly and as personal as your firm." LH
"Mr Bush has given me consideration and respect. I would return to him on any new need." DH
"No hassles on my end and honesty and up-front attitude on firm's end." RF
"I was really impressed with Bush Law Firm's overall performance with my case. I will definitely refer them to others!" DB
"I was nervous about taking my case to an attorney but Mr Bush restored my faith in attorneys." BE
"I have known Rex for more than a decade. My first associations with Rex were while employed as a law clerk in his office during law school. Since then, Rex has become a trusted colleague and friend. In working with Rex both in his office and out, I learned that Rex greatly values client relationships and places emphasis on client satisfaction. He prides himself on constantly learning and improving the skills necessary to be on the leading edge of his trade. I have personally relied on his expertise in personal injury on numerous occasions. I recommend Rex to any client or fellow attorney in any matter involving personal injuries. This recommendation is shared by others which has resulted in Rex being named as one of Utah's legal elite in the category of personal injury."
Dave Kono, Salt Lake City Attorney
"You're the best personal injury attorney I know in Utah."
RobRoy Platt, Utah County Attorney
"I have known Rex for over 10 years and have found him to be well organized, compassionate, and persistent. Rex is one of the top injury attorneys in Utah, and is often recognized by his peers as one of Utah's Legal Elite."
William Morrison, Salt Lake City Attorney
"Rex Bush is one positive, together guy. He's got the voice of confidence."
Ken Selander, Seattle Attorney
"A client of mine* was seriously injured in a motor vehicle accident while visiting in Utah. Although I am an attorney, I am not licensed to practice law in the State of Utah. As such, I needed to find a Utah attorney experienced in personal injury cases that could assist me in this matter. I was referred to Rex Bush who agreed to be my co-counsel in this case. Mr. Bush quickly became an indispensable part of the team and was instrumental in effectuating a very large* out-of-court settlement. Without Mr. Bush's wise legal counsel and vast knowledge of Utah personal injury law I do not believe that my client's results would have been so favorable. Should I need a Utah personal injury attorney again, Mr. Bush will be the attorney I call.
*Plaintiff's name, settlement amount and Plaintiff's Attorney's full last name omitted due to confidentiality clause in Release and Settlement Agreement."
KS, Attorney at Law, Maryland
DISCLAIMER: DO NOT RELY ON THE ADVICE HEREIN WITHOUT CONSULTING A LICENSED UTAH ATTORNEY. LEGAL INFORMATION ON THIS SITE APPLIES TO UTAH AND THE LAW MAY HAVE CHANGED SINCE THIS WEBSITE WAS WRITTEN. IF YOU WERE INJURED IN ANOTHER STATE PLEASE CONSULT AN ATTORNEY LICENSED IN THAT STATE.


HORNO HNOS. JUAN (Grupo Dulcesol) is launching onto the market the revolution of frozen pastries. INSTAN is our range of patisserie and pastry products that do not need to be prepared in the oven.
All of our INSTAN products are characterised by their quality and versatility, since they only require around 45 minutes of defrosting at room temperature to be perfectly ready to eat.
Our INSTAN products offer our customers the possibility of serving a very high quality product, without the need for an oven to finish its preparation.


text:
\section{Introduction}

In this paper we complete the study of \cite{BGR_quasi}, where we got existence results for the quasilinear elliptic equation
\begin{equation}\label{EQ}
	-\Delta w+ V\left( \left| x\right| \right) w - w \left( \Delta w^2 \right)= K(|x|) g(w)  \quad \text{in }\mathbb{R}^{N}.
\end{equation}

\noindent Such an equation arises in the search of standing waves for an evolution Schr\"{o}dinger equation which has been used to study several physical phenomena (see \cite{LiuWang,PoppenbergSchmittWang, Kwon} and the references therein), such as laser beams in matter \cite{Brandi-et} and quasi-solitons in superfluids films \cite{Kuri}.
In recent times a great amount of work has been made on equation (\ref{EQ}) to overcome the non-trivial technical difficulties associated with it (see \cite{AiresSouto, ColinJeanjean, Uberlandio2, FangSzulkin, FurtadoSilvaSilva, Gloss,LiuLiuWang1, LiuLiuWang2, SilvaVieira, YangWangZhao} and the references therein).
In \cite{BGR_quasi} and in the present paper we follow an idea introduced in \cite{LiuWang} and then used by several authors, which exploits a suitable change of variable $w=f(u)$: the problem in the new unknown $u$ can be then faced with usual variational methods, by working in an Orlicz-Sobolev space.

In almost all the papers dealing with (\ref{EQ}), the potential $V$ (be it radial or nonradial) is supposed to be positive and not vanishing at infinity. At the best of our knowledge, the only papers dealing with a potential $V$ allowed to vanish at infinity are \cite{AiresSouto,Uberlandio2,Kwon,Li-Huang}.
In \cite{AiresSouto} and \cite{Kwon} the authors assume that $V$ is bounded, while in \cite{Li-Huang} existence of solutions is proved for possibily singular $V$'s but bounded $K$'s. In \cite{Uberlandio2}, which is the paper that inspired our work, both $V$ and $K$ can be singular or vanishing at zero or at infinity, but the authors assume that they are radial and essentially behave as powers of $|x|$ as $|x|\to 0$ and $|x|\to \infty$.
In \cite{BGR_quasi}, instead, we have studied the case in which both $V$ and $K$ are radial potentials that can be singular or vanishing at zero or at infinity, and do not need to exhibit a powel-like behavior. The main novelties of our approach are the application of compact embeddings into the sum Lebesgue space $L^{q_1}_K + L^{q_2}_K$ (see Section 2 below) and the use of assumptions on the potentials ratio $K/V$, not on the two potentials separately.
Nevertheless, for technical reasons, in almost all cases we had to assume that $K$ was vanishing at the origin. In the present paper we remove this obstruction.

This note is organized as follows. In Section 2 we introduce our hypotheses on $V$ and $K$, the change of variables $w=f(u)$ and the function space $E$ in which we will work. Then we state a general result concerning the compactness of the embedding of $E$ into $L_{K}^{q_{1}}+L_{K}^{q_{2}}$ (Theorem \ref{THM(cpt)}), and we give some explicit conditions ensuring that the embedding is compact (Theorems \ref{THM0} and \ref{THM1}). In Section \ref{SEC: funct} we introduce our hypotheses on the nonlinearity $g$ and we study the main properties of the functional $I$ associated to the dual problem, and in particular of its critical points, which give rise to the solutions of (\ref{EQ}). In Section \ref{SEC: ex} we apply our embedding results to get existence of nonnegative solutions to (\ref{EQ}), stating and proving the main existence result of the paper, which is Theorem \ref{THM:ex}. In section \ref{SEC:EX}, we give concrete examples of potentials $V,K$ satisfying our hypotheses and non included in the previous literature.

\begin{notations}

	We end this introductory section by collecting
	some notations used in the paper.

	\noindent  $\bullet $ $\mathbb{R}_{+} = ( 0, +\infty ) = \left\{ x\in \mathbb{R} : x>0 \right\}$.

	\noindent $\bullet $ For every $R>0$, we set $B_{R} =\left\{ x\in \mathbb{R}
	^{N}:\left| x\right| <r\right\} $.

	\noindent $\bullet $ $C_{\mathrm{c}}^{\infty }(\mathbb{R}^N )$ is the space of the
	infinitely differentiable real functions with compact support. $C_{\mathrm{c}, r}^{\infty }( \mathbb{R}^N)$ is the subspace
	of $C_{\mathrm{c}}^{\infty }(\mathbb{R}^N)$ made of radial functions.

	\noindent $\bullet $ For any measurable set $A\subseteq \mathbb{R}^{N}$, $
	L^{q}(A)$ and $L_{\mathrm{loc}}^{q}(A)$ are the usual real Lebesgue spaces.
	If $\rho :A\rightarrow \Bbb{R}_{+}$ is a measurable function, then $%
	L^{p}(A,\rho \left( z\right) dz)$ is the real Lebesgue space with respect to
	the measure $\rho \left( z\right) dz$ ($dz$ stands for the Lebesgue measure
	on $\mathbb{R}^{N}$). In particular, if $K:\Bbb{R}_{+}\rightarrow \Bbb{R}
	_{+} $ is measurable, we denote $L_{K}^{q}\left( A\right) :=L^{q}\left(
	A,K\left( \left| x\right| \right) dx\right) $.

	\noindent $\bullet $ If $Y$ is a Banach space, $Y'$ is its dual.

\end{notations}

\section{Hypotheses and preliminary results  }

\par \noindent Throughout this paper we will assume $N\geq 3$ and the following hypotheses on $V,K$:

\begin{itemize}

	\item[$\left( \mathbf{H}\right) $]  $V:\mathbb{R}_{+}\rightarrow
	\left[ 0,+\infty \right) $ and $K:\mathbb{R}_{+} \rightarrow \mathbb{R}_{+} $ are continuous, and there exists $C>0$ such that for all $r \in (0,1)$ one has
	$$
	V(r) \leq \frac{C}{r^2} .
	$$

\end{itemize}

As a first thing we introduce the function that we need to define the Orlicz-Sobolev space in which we will work. Such a function is defined as the solution $f$ of the following Cauchy problem:
\begin{equation}
	\label{eq:change}
	\left\{
	\begin{array}{ll}
		f'(t)= \frac{1}{\sqrt{1+2f^2 (t)}} \quad \quad  \text{in }\mathbb{R} \\

		f(0)=0
	\end{array}
	\right.
\end{equation}
It is easy to check that this problem has a unique solution $f\in C^{\infty}(\mathbb{R}, \mathbb{R})$, which is odd, strictly increasing, and surjective (whence invertible). Other important properties of $f$ are listed in Lemma 2.1 of \cite{BGR_quasi}.
We use the function $f$ to define a suitable change of unknown, which is the following: we call $w$ the solution of (\ref{EQ}) we are looking for and we set $w= f(u)$, where $u$ is the new unknown, living in a suitable space that we are going to define. To get solutions $w$ to (\ref{EQ}) we will look for solutions $u$ to the following equation:
\begin{equation}\label{EQdual}
	-\Delta u+ V\left( \left| x\right| \right) f(u) f' (u) = K(|x|) g(f(u)) f' (u) \quad \text{in }\mathbb{R}^{N},
\end{equation}
which will be obtained as critical points of the following functional:
\begin{equation}\label{funct1}
	I(u) = \frac{1}{2}\int_{\mathbb{R}^{N}}|\nabla u |^2 dx + \frac{1}{2}\int_{\mathbb{R}^{N}}V(|x|) f^2 (u)  dx-\int_{\mathbb{R}^{N}}K(|x|) G(f (u)) \,dx.
\end{equation}
The critical points of $I$ and their relations with solutions of (\ref{EQ}) will be studied in the next section. In the rest of the present section we introduce the function space $E$ in which we will obtain the critical points of $I$, and we study the relevant  compactness results for $E$. All the results of this section have been proven in \cite{Uberlandio2} and \cite{BGR_quasi}.

To this aim, we introduce the space $D_r^{1,2} \left(\mathbb{R}^{N}  \right) $ as the closure of $C_{\mathrm{c}, r}^{\infty }( \mathbb{R}^{N} ) $ with respect to the norm $||u||_{1,2} := \left( \int_{\mathbb{R}^{N}} |\nabla u|^2
dx \right)^{1/2}$. It is well known that $D_r^{1,2} \left(\mathbb{R}^{N}  \right) $ is a Hilbert space. Then we define the space $E$ as follows:
$$E = \left\{ u \in  D_r^{1,2} \left(\mathbb{R}^{N}\right) \, \Big| \, \int_{\mathbb{R}^{N}} V(|x|) f^2 (u) dx <+\infty \right\}.$$
In $E$ we introduce the Orlicz norm
$$
||u||_o = \inf_{k>0} \frac{1}{k} \left[ 1+  \int_{\mathbb{R}^{N}} V(|x|) f^2 ( k u) dx    \right] ,
$$
and then we set
$$||u || = ||u||_{1,2} + ||u||_o .$$
The space $E$ endowed with the norm $|| . ||$ is an Orlicz-Sobolev space. In the following theorems we recall some of its properties. For the proofs, and other relevant properties of $E$, see \cite{BGR_quasi}.

\begin{thm}
	$\left( E, ||.||\right)$ is a Banach space and the following continuous embedding holds true:
	$$
	E\hookrightarrow D_r^{1,2} \left(\mathbb{R}^{N}\right) .
	$$
\end{thm}

\begin{lem}
	\label{lem:properties}
	If $u_n (x) \rightarrow u(x)$ a.e. in $\mathbb{R}^{N}$ and
	$$
	\int_{\mathbb{R}^{N}} V(|x|) f^2 (u_n ) \, dx \rightarrow \int_{\mathbb{R}^{N}} V(|x|)  f^2 (u ) \, dx ,
	$$
	then $||u_n - u  ||_o  \rightarrow 0$.
\end{lem}

We now state the main compactness results concerning the space $E$, which have been proven in \cite{BGR_quasi}. They concern the embedding properties of $E$ into the sum space
\[
L_{K}^{q_{1}}+L_{K}^{q_{2}}:=\left\{ u_{1}+u_{2}:u_{1}\in
L_{K}^{q_{1}}\left( \Bbb{R}^{N}\right) ,\,u_{2}\in L_{K}^{q_{2}}\left( \Bbb{R%
}^{N}\right) \right\} ,\quad 1<q_{i}<\infty .
\]
We recall from \cite{BPR} that such a space can be characterized as the set
of measurable mappings $u:\Bbb{R}^{N}\rightarrow \Bbb{R}$ for which there
exists a measurable set $A\subseteq \Bbb{R}^{N}$ such that $u\in
L_{K}^{q_{1}}\left( A\right) \cap L_{K}^{q_{2}}\left( A^{c}\right) $. It is
a Banach space with respect to the norm
\[
\left\| u\right\| _{L_{K}^{q_{1}}+L_{K}^{q_{2}}}:=\inf_{u_{1}+u_{2}=u}\max
\left\{ \left\| u_{1}\right\| _{L_{K}^{q_{1}}(\Bbb{R}^{N})},\left\|
u_{2}\right\| _{L_{K}^{q_{2}}(\Bbb{R}^{N})}\right\}
\]
and the continuous embedding $L_{K}^{q}\hookrightarrow
L_{K}^{q_{1}}+L_{K}^{q_{2}}$ holds true for all $q\in \left[ \min \left\{
q_{1},q_{2}\right\}, \max \left\{ q_{1},q_{2}\right\} \right] $.
The first compactness result is Theorem \ref{THM(cpt)} below. Its assumptions are rather general but not so easy to check, so more handy conditions ensuring such assumptions will be provided in the next Theorems \ref{THM0} and \ref{THM1}. To state the results, we need to preliminarly introduce the following functions of $R>0$ and $q>1$:
\begin{eqnarray}
	\mathcal{S}_{0}\left( q,R\right)&:=&
	\sup_
	{u\in E,\
		\left\| u\right\| =1  }
	\int_{B_{R}}K\left( \left| x\right| \right)
	\left| u\right| ^{q}dx,  \label{S_o :=}
	\\
	\mathcal{S}_{\infty }\left( q,R\right)&:=&
	\sup_
	{u\in E,\
		\left\| u\right\| =1  }
	\int_{\mathbb{R}%
		^{N}\setminus B_{R}}K\left( \left| x\right| \right) \left| u\right| ^{q}dx.
	\label{S_i :=}
\end{eqnarray}
Clearly $\mathcal{S}_{0}\left( q,\cdot \right) $ is nondecreasing, $\mathcal{
	S}_{\infty }\left( q,\cdot \right) $ is nonincreasing and both of them can
be infinite at some $R$.

\begin{thm}
	\label{THM(cpt)} Let $N\geq 3$, let $V$ and $K$ be as in $\left( \mathbf{H}\right) $ and let $q_{1},q_{2}>1$.
	If
	\begin{equation}\label{eqcompact}
		\lim_{R\rightarrow 0^{+}}\mathcal{S}_{0}\left( q_{1},R\right)
		=\lim_{R\rightarrow +\infty }\mathcal{S}_{\infty }\left( q_{2},R\right) =0,
	\end{equation}
	then $E$ is compactly embedded into $L_{K}^{q_{1}}(\mathbb{R}^{N})+L_{K}^{q_{2}}(\mathbb{R}^{N})$.

\end{thm}

\noindent We notice that assumption \eqref{eqcompact}
can hold with $q_{1}=q_{2}=q$ and therefore Theorem \ref{THM(cpt)} also
concerns the compact embedding properties of $E$ into $L_{K}^{q}$, $1<q<\infty $.

We now look for explicit conditions on $V$ and $K$ implying \eqref{eqcompact} for some $q_{1}$ and $q_{2}$. More
precisely, in Theorem \ref{THM0} we will find a range of exponents $
q_{1} $ such that $\lim_{R\rightarrow 0^{+}}\mathcal{S}_{0}\left(q_{1},R\right)$ $=0$, while
in Theorem \ref{THM1} we will do the same for exponents $q_{2}$ such that
$\lim_{R\rightarrow +\infty}\mathcal{S}_{\infty }\left( q_{2},R\right) =0$.

For $\alpha \in \mathbb{R}$, $\beta \in \left[ 0,1\right] $, we define two functions
$q_0^{*} \left( \alpha ,\beta\right) $ and $q_{\infty}^{*}\left( \alpha ,\beta\right)$ by setting
$$\quad q_0^{*}\left( \alpha ,\beta \right) :=\frac{2 \alpha  +2 N - \beta (N+2)}{N-2},
\quad \quad q_{\infty}^{*}\left( \alpha ,\beta \right) :=2 \, \frac{ \alpha  + N - 2\beta }{N-2}.
$$

\begin{thm}
	\label{THM0}
	Let $V$, $K$ be as in $\left( \mathbf{H}\right) $.
	Assume that there exists $R_{1}>0$ such that
	\begin{equation} \label{esssup in 0}
		\sup_{r\in \left( 0,R_{1}\right) }\frac{K\left( r\right) }{%
			r^{\alpha _{0}}V\left( r\right) ^{\beta _{0}}}<+\infty \quad \text{for some }%
		0\leq \beta _{0}\leq 1\text{~and }\alpha _{0} \in \mathbb{R} .
	\end{equation}
	Assume also that
	$$
	\max \left\{ 1,2\beta _{0}\right\} <q_0^{*}  \left( \alpha _{0},\beta
	_{0}\right).
	$$
	Then
	$\displaystyle \lim_{R\rightarrow 0^{+}}\mathcal{S}_{0}\left(
	q_{1},R\right) =0$ for every $q_{1}\in \mathbb{R}$ such that
	\begin{equation}
		\max \left\{ 1,2\beta _{0}\right\} <q_{1}<q_0^{*}  \left( \alpha _{0},\beta
		_{0}\right) .  \label{th1}
	\end{equation}
\end{thm}

\begin{thm}
	\label{THM1}
	Let $V$, $K$ be as in $\left( \mathbf{H}\right) $.
	Assume that there exists $R_{2}>0$ such that
	\begin{equation}
		\sup_{r>R_{2}}\frac{K\left( r\right) }{r^{\alpha _{\infty
			}}V\left( r\right) ^{\beta _{\infty }}}<+\infty \quad \text{for some }0\leq
		\beta _{\infty }\leq 1\text{~and }\alpha _{\infty }\in \mathbb{R}.
		\label{esssup all'inf}
	\end{equation}
	Then $\displaystyle \lim_{R\rightarrow +\infty }\mathcal{S}_{\infty }\left(
	q_{2},R\right) =0$ for every $q_{2}\in \mathbb{R}$ such that
	\begin{equation}
		q_{2}>\max \left\{ 1,2\beta _{\infty },q_{\infty}^{*}\left(\alpha _{\infty },\beta
		_{\infty }\right) \right\} .  \label{th2}
	\end{equation}
\end{thm}

\begin{rem}
	We mean $V\left( r\right) ^{0}=1$ for every $r$
	(even if $V\left( r\right) =0$). In particular, if $V\left( r\right) =0$ for $r>R_{2}$, then Theorem \ref{THM1} can be applied with $\beta
	_{\infty }=0$ and assumption (\ref{esssup all'inf}) means
	\[
	\esssup_{r>R_{2}}\frac{K\left( r\right) }{r^{\alpha _{\infty }}}%
	<+\infty \quad \text{for some }\alpha _{\infty }\in \mathbb{R}.
	\]
	Similarly for Theorem \ref{THM0} and assumption (\ref{esssup in 0}), if $%
	V\left( r\right) =0$ for $r\in \left( 0,R_{1}\right) $.
\end{rem}

\section{The functional I \label{SEC: funct}}

In this section we study the functional $I$, defined in (\ref{funct1}), whose critical points will give rise to solutions to \eqref{EQdual}, and thus to \eqref{EQ}.
To this aim, we need a set of hypotheses on the nonlinearity $g$.

First of all we make the following assumptions, to be maintained from now on:

\begin{itemize}
	\item[$ \bf (h_1 )$] we assume both hypotheses  (\ref{esssup in 0}) and (\ref{esssup all'inf}) of Theorems \ref{THM0} and \ref{THM1};

	\item[ $\bf (h_2 )$] we let $q_1 , q_2 \in \mathbb{R}$ be such that $4 < q_1 < 2 q_0^* (\alpha_0 , \beta_0 ) $ and $q_2 > \max \left\{ 4, 2 q_{\infty}^* (\alpha_{\infty} , \beta_{\infty} ) \right\}$.

\end{itemize}

\noindent Then we introduce the conditions we will use about the continuous $g$, meaning $G(t)= \int_0^t g(s) \, ds$:

\begin{itemize}

	\item[${\bf \left( g_{1}\right) } $] $g : \mathbb{R} \rightarrow \mathbb{R}$ is a continuous function;

	\item[${\bf \left( g_{2}\right) } $]  $\exists \theta >2$ such that $0\leq 2\theta
	G\left( t\right) \leq g\left( t\right) t$ for all $t\in \mathbb{R}$;

	\item[${\bf  \left( g_{3}\right)} $]  $\exists t_{0}>0$ such that $G\left(t_{0}\right) >0$;

	\item[${\bf  \left( g_{q_{1},q_{2}}\right) }$]  $\exists C>0$ such that
	$\left|g\left( t\right) \right| \leq C \min \left\{ \left| t\right|
	^{q_{1}-1},\left| t\right| ^{q_{2}-1}\right\} $ for all $t\in \mathbb{R}$.

\end{itemize}

\noindent We notice that these hypotheses imply that $q_1, q_2 \geq 2\theta $, and that there exists $C>0$ such that the following estimate holds for all $t\in \mathbb{R}$:
\begin{equation}\label{estimG}
	\left|G\left( t\right) \right| \leq C \min \left\{ \left| t\right|
	^{q_{1}},\left| t\right| ^{q_{2}}\right\}.
\end{equation}
We also observe that, if $q_{1}\neq q_{2}$, the double-power growth
condition ${\bf \left( g_{q_{1},q_{2}}\right)} $ is more stringent than the more
usual single-power one, since it implies $|g(t)| \leq C |t|^{q-1}$
for $q=q_{1}$, $q=q_{2}$ and every $q$
in between. On the other hand, we will never require $q_{1}\neq q_{2}$ in ${\bf \left( g_{q_{1},q_{2}}\right)} $, so that our results will also concern
single-power nonlinearities as long as we can take $q_{1}=q_{2}$.

We begin with the following lemma.

\begin{lem}\label{embedmezzi}
	Assume $ \bf (h_1 )$, $ \bf (h_2 )$. Then $E $ is compaclty embedded into $L_K^{q_1/2} \left( \mathbb{R}^N \right) + L_K^{q_2/2} \left( \mathbb{R}^N \right)$.
\end{lem}

\begin{proof}
	The hypothesis $\bf \left( h_2 \right)$ easily gives that $q_1 /2$ and $q_2 /2$ satisfy  (\ref{th1}) and  (\ref{th2}). Together with $\bf \left( h_1 \right)$, this implies that the hypotheses of Theorems \ref{THM0} and \ref{THM1} are satisfied. Together with Theorem \ref{THM(cpt)}, this gives the result.
\end{proof}

We now state the main properties of the functional $I:E\rightarrow \mathbb{R}$ defined by (\ref{funct1}).

\begin{thm}
	\label{THM:critical}
	Let $N\geq 3$ and assume $\left( \mathbf{H}\right) $, $(\bf h_1 )$, $(\bf h_2 )$. Assume that $g: {\mathbb{R}} \rightarrow {\mathbb{R}}$
	satisfies ${\bf \left( g_{1}\right) } $, ${\bf \left( g_{2}\right) } $, ${\bf \left( g_{3}\right) } $ and ${\bf  \left( g_{q_{1},q_{2}}\right) }$. Then
	\begin{itemize}
		\item[(1)] $I$ is well defined and continuous in $E$;

		\item[(2)] $I$ is a $C^1$ map on $E$ and for all $u \in E$ its differential $I' (u)$ is given by
		\begin{align}
			I' (u) h  = & \int_{\mathbb{R}^{N}}\nabla u \nabla h dx + \int_{\mathbb{R}^{N}}V(|x|) f (u) f'(u) h  dx \label{diffrechet}\\
			&-\int_{\mathbb{R}^{N}}K(|x|) g(f (u)) f'(u) h\,dx \nonumber
		\end{align}
		for all $h \in E$.

	\end{itemize}

\end{thm}

\begin{proof}
	Define
	$$ I_1 (u)  =    \frac{1}{2} \int_{\mathbb{R}^{N}} |\nabla u |^2 dx, \qquad I_2 (u)  = \frac{1}{2} \int_{\mathbb{R}^{N}}V(|x|) f^2 (u)  dx , $$
	$$I_3 (u) =
	\int_{\mathbb{R}^{N}}K(|x|) G(f (u))  \,dx ,$$
	where $G(t)= \int_{0}^{t} g(s)ds $. We study these three functionals separately.
	\par \noindent As to $I_1$, it is a standard task to get that $I_1$ is $C^1$ on $E$ with differential given by $I'_1 (u)h= \int_{\mathbb{R}^{N}}\nabla u \nabla h dx $.
	\par \noindent As to $I_3$, we notice that, setting $h(x,t)= K(|x|) G(f(t))$, we have $h(x,t) = \int_{0}^{t} K(|x|) g(f (s)) f'(s) ds$. Exploiting the properties of $f$ (see Lemma 2.1 in \cite{BGR_quasi}), we have that
	$$
	|g(f(t))| \, |f'(t) | \leq C |f(t)|^{q_i -1} |t|^{-1} |t f'(t)| \leq C |f(t)|^{q_i } |t|^{-1}\leq C |t|^{q_i/2 -1 } .
	$$
	and therefore
	$$\left|  K(|x|) g(f (t)) f'(t) 	\right| \leq C  K(|x|)\min \left\{ \left| t\right|
	^{q_{1}/2-1},\left| t\right| ^{q_{2}/2-1}\right\} .$$
	Then we can apply the results of \cite{BPR} (in particular Proposition 3.8) and the fact that $E \hookrightarrow L_{K}^{q_{1}}(\mathbb{R}^{N})+L_{K}^{q_{2}}(\mathbb{R}^{N})$  (see Theorem \ref{THM(cpt)}), to get that also $I_3$ is $C^1$ on $E$, with differential given by
	$$I'_3 (u)h = \int_{\mathbb{R}^{N}}K(|x|) g(f (u)) f'(u) h\,dx.$$
	\par \noindent As to $I_2$, we can repeat here the arguments of \cite{Uberlandio2} or \cite{BGR_quasi}, which also work under our hypotheses, to get that $I_2$ is well defined, continuous and Gateaux differentiable on $E$, with differential $I'_2$ given by
	$$  I'_2 (u) h = \int_{\mathbb{R}^{N}}V(|x|) f (u) f'(u) h  dx .$$
\end{proof}

We now give the main properties of the critical points of $I$, under the hypotheses of Theorem \ref{THM:critical}. In particular, we will point out the relation between equation (\ref{EQdual}) and the original equation (\ref{EQ}).
Clearly a critical point $u$ of $I$ satisfies $I'(u)h=0$, i.e.
\begin{equation}
	\label{EQweakdual}
	\int_{\mathbb{R}^{N}}\nabla u \nabla h \, dx + \int_{\mathbb{R}^{N}}V(|x|) f (u) f'(u) h \,  dx -\int_{\mathbb{R}^{N}}K(|x|) g(f (u)) f'(u) h\,dx =0
\end{equation}
for all $h \in E$, which is, of course, a weak formulation of equation (\ref{EQdual}). The other relevant properties of the critical points of $I$ are summarized by the following theorem, which we proved in \cite{BGR_quasi}.

\begin{thm}
	Assume the hypotheses of Theorem \ref{THM:critical}. Let $u\in E$ be a critical point of $I$ and set $w= f(u)$. Then
	\begin{itemize}
		\item[(1)] $u \in  C^2 ( \mathbb{R}^{N} \backslash \{ 0 \} )$ and $u$ is a classical solution of equation (\ref{EQdual}) in $ \mathbb{R}^{N} \backslash \{ 0 \}$;

		\item[(2)] $w \in C^2 \left(\mathbb{R}^{N} \backslash \{ 0\} \right) $ and $w$ is a classical solution of equation (\ref{EQ}) in $\mathbb{R}^{N} \backslash \{ 0\}$;

		\item[(3)] $w \in X$ and $w$ satisfies the following weak formulation of (\ref{EQ}):
		\begin{equation*}
			\int_{\mathbb{R}^{N}}  \left( 1+ 2w^2 \right) \nabla w\cdot \nabla h\, dx+ \int_{\mathbb{R}^{N}}   2w |\nabla w|^2 \, h \, dx + \int_{
				\mathbb{R}^{N}}V\left( \left| x\right| \right) wh\,dx=

		\end{equation*}
		\begin{equation} \label{EQweak2}
		=\int_{		\mathbb{R}^{N}}K(|x|) g(w)  h\,dx
		\end{equation}
		for all $h \in C_{\mathrm{c}, r}^{\infty }( \mathbb{R}^{N} )$.

	\end{itemize}

\end{thm}

\section{Existence of solutions \label{SEC: ex}}

Our main existence result is the following.

\begin{thm}
	\label{THM:ex} Assume the hypotheses of Theorem \ref{THM:critical}. Then the functional $I:E\rightarrow \mathbb{R}$ has a nonnegative
	critical point $u\neq 0$.
\end{thm}

\begin{rem}
	\label{RMK:thm:ex} In Theorem \ref{THM:ex}, as we look for nonnegative solutions, we may assume $g(t)=0$ for all $t\leq 0$. Indeed, if we have a nonlinearity $g$ satisfying the hypotheses of the theorem, we can replace $g(t)$ with $\chi _{\mathbb{R}_{+}}(t) g(t) $ ($\chi _{\mathbb{R}_{+}}$ is the characteristic function of $\mathbb{R}_{+}$) and the new nonlinearity still satisfies the hypotheses.
\end{rem}

\begin{rem}
	As concerns examples of nonlinearities satisfying the hypotheses of Theorem \ref{THM:ex}, the simplest
	$g\in C\left(\mathbb{R};\mathbb{R}\right) $ such that ${\bf  \left( g_{q_{1},q_{2}}\right) }$ holds is
	\[g\left( t\right) =\min \left\{ \left| t\right| ^{q_{1}-2}t,\left| t\right|
	^{q_{2}-2}t\right\} ,
	\]
	which also ensures ${\bf  \left( g_{2}\right) }$ if $
	q_{1},q_{2}>4$ (with $\theta = \min \left\{ \frac{q_1}{2}, \frac{q_2}{2} \right\} $). Another model example is
	\[
	g\left( t\right) =\frac{\left| t\right| ^{q_{2}-2}t}{1+\left| t\right|
		^{q_{2}-q_{1}}}\quad \text{with }1<q_{1}\leq q_{2},
	\]
	which ensures ${\bf \left( g_{2}\right) }$ if $q_{1}>4$ (with $\theta =\frac{q_1}{2}$). Note that, in
	both these cases, also ${\bf \left( g_{3}\right) }$ holds true. Moreover, both of these functions $g$
	become $g\left( t\right) =\left| t\right| ^{q-2}t$ if $q_{1}=q_{2}=q$.
\end{rem}

In order to prove Theorem \ref{THM:ex}, we first recall the Palais-Smale condition and a version of the well-known Mountain-Pass Lemma (see \cite[Chapter 2]{AubinEkeland}).

\begin{defin}
	Let $Y$ be a Banach space and $\Phi : Y \rightarrow \mathbb{R}$ a $C^1$ functional. We say that $\Phi $ satisfies the Palais-Smale condition if for any sequence $\{ x_n \}_n $ sucht that $\Phi(x_n )$ is bounded in $\mathbb{R}$ and $\Phi' (x_n ) \rightarrow 0$ in $Y'$, there exists a subsequence $\{ x_{n_k} \}_k $ converging in $Y$.
\end{defin}

\begin{thm} (Mountain Pass Lemma) \label{MPLemma}

	\noindent Let $Y$ be a Banach space and $\Phi : Y \rightarrow \mathbb{R}$ a $C^1$ functional such that $\Phi (0)=0$ . Assume that $\Phi$ satisfies the Palais-Smale condition and that there exist a subset $S \subseteq Y$ and $\alpha >0$  such that:
	\begin{itemize}

		\item[(i)] $Y  \setminus S$ is not arcwise connected;

		\item[(ii)] $\Phi  (x) \geq \alpha$ for all $x \in S$;

		\item[(iii)] there exists $y \in Y  \backslash (C_0 \cup S )$ such that $\Phi (y)<0$, where $C_0$ is the connected component of $ Y  \backslash S$ such that $0 \in C_0$.

	\end{itemize}
	Then $\Phi $ has a critical point $u \in Y$ such that $\Phi (u) \geq \alpha $.

\end{thm}

We will prove Theorem \ref{THM:ex} by showing that the functional $I: E\rightarrow \mathbb{R}$ satisfies the hypotheses of the Mountain Pass Lemma.  Obviously $I(0)=0$. The proof of the other hypotheses is the subject of Lemmas \ref{LE:MP0} and \ref{LE:MP4}.
Recall the three functionals $I_1 , I_2 , I_3$ introduced in the proof of Lemma \ref{THM:critical}, and for $u \in E$ define $J (u) = I_1 (u)+ I_2 (u)= \frac{1}{2} \int_{\mathbb{R}^{N}}|\nabla u |^2 \, dx  + \frac{1}{2} \int_{\mathbb{R}^{N}}V(|x|) f^2 (u) \,dx $. Moreover, for any $\rho >0$ set
$$
S_{\rho}= \left\{ u \in E \, | \, J(u) = \rho \right\}.
$$

\begin{lem}
	\label{LE:MP0}
	Assume the hypotheses of Theorem \ref{THM:ex}. Then:
	\begin{itemize}

		\item[(1)] for every $\rho >0$ the set $E\setminus S_{\rho}$ is not arcwise connected;

		\item[(2)] there exist $\rho , \alpha >0$ and $v\in E$ such that $J(v) > \rho$, $I(v)<0$ and $I(u) \geq \alpha$ for all $u \in S_{\rho}$;

		\item[(3)] if $\left\{ u_n   \right\}_n \subseteq E$ is a Palais-Smale sequence for $I$, i.e., a sequence such that
		$ \left\{ I(u_n ) \right\}_n$ is bounded and $ I' (u_n ) \rightarrow 0 $ in $E'$, then $\left\{ u_n   \right\}_n $ in bounded in $ E$.

	\end{itemize}

\end{lem}

\proof
See \cite{BGR_quasi}.
\endproof

The following lemma shows that $I$ satisfies the Palais-Smale condition. This relies on the compact embedding of $E$ into $L_{K}^{q_{1}/2}(\mathbb{R}^{N})+L_{K}^{q_{2}/2}(\mathbb{R}^{N})$, which is one of the main devices in our proof of Theorem \ref{THM:ex} and holds true by Lemma \ref{embedmezzi}.

\begin{lem}
	\label{LE:MP4}
	\label{LEM:PS}Under the assumptions of Theorem \ref{THM:ex}, the functional $
	I:E\rightarrow \mathbb{R}$ satisfies the Palais-Smale condition.
\end{lem}

\proof

Let $\left\{ u_{n}\right\}_n $ be a sequence in $E$ such that $\left\{
I\left( u_{n}\right) \right\}_n $ is bounded and $I^{\prime }\left(
u_{n}\right) \rightarrow 0$ in $E^{\prime }$. From the previous lemma we get that $\left\{ u_{n}\right\}_n $ is bounded in $E$, so that there is a subsequence, which we still call $\left\{ u_{n}\right\}_n $, such that $u_n \rightharpoonup u$ in $E$ and in $D_r^{1,2} \left(\mathbb{R}^{N}\right) $, and $u_n (x) \rightarrow u(x)$ a.e.$x$. Recall
that we have defined $J= I_1 + I_2$, so that
$I= J-I_3$. We know that $I_3$ is $C^1$ as a functional from $L_{K}^{q_{1}/2}+L_{K}^{q_{2}/2}$ to $\mathbb{R}$. By compactness of the embedding of $E$ into $L_{K}^{q_{1}/2}+L_{K}^{q_{2}/2}$, we have that $u_n \rightarrow u$ in $L_{K}^{q_{1}/2}+L_{K}^{q_{2}/2}$. Hence $I_{3}' (u_n ) \rightarrow I_{3}'(u)$ in the dual space of $L_{K}^{q_{1}/2}+L_{K}^{q_{2}/2}$ and $I_{3}' (u_n )(u-u_n )\rightarrow 0$ in $\mathbb{R}$.
We now notice that, as $f^2$ is a convex function (see Lemma 2.1 in \cite{BGR_quasi}), $J$ is a convex functional on $E$. Hence
$$
J(u)-J(u_n ) \geq J'( u_n ) (u- u_n ) = I'( u_n ) (u- u_n ) + I_{3}'( u_n ) (u- u_n ).
$$
Since $I'( u_n ) \rightarrow 0$ in $E'$ and $\left\{ u-u_{n}\right\} $ is bounded in $E$, we have that $I'( u_n ) (u- u_n )\rightarrow 0$. So
$$
J(u) \geq J(u_n ) + o(1).
$$
Taking the $\liminf_n$, this gives
\begin{equation}
	\label{EQPS1}
	\int_{\mathbb{R}^{N}}| \nabla u |^2 dx + \int_{\mathbb{R}^{N}}V(|x|) f^2 (u ) dx
\end{equation}
$$
\geq \liminf_n \left( \int_{\mathbb{R}^{N}}| \nabla u_n |^2 dx + \int_{\mathbb{R}^{N}}V(|x|) f^2 (u_n ) dx \right)
$$
$$\geq \liminf_n  \int_{\mathbb{R}^{N}}| \nabla u_n |^2 dx + \liminf_n \int_{\mathbb{R}^{N}}V(|x|) f^2 (u_n ) dx .
$$
By semicontinuity of the norm, one has
$$
\liminf_n \int_{\mathbb{R}^{N}}| \nabla u_n |^2 dx \geq \int_{\mathbb{R}^{N}}| \nabla u |^2 dx,
$$
and hence (\ref{EQPS1}) gives
$$
\int_{\mathbb{R}^{N}}V(|x|) f^2 (u ) dx \geq \liminf_n  \int_{\mathbb{R}^{N}}V(|x|) f^2 (u_n ) dx.
$$
Fatou's Lemma obviously implies
$$\int_{\mathbb{R}^{N}}V(|x|) f^2 (u ) dx \leq \liminf_n  \int_{\mathbb{R}^{N}}V(|x|) f^2 (u_n ) dx,$$
whence
\begin{equation}
	\label{EQPS2}
	\int_{\mathbb{R}^{N}}V(|x|) f^2 (u ) dx = \liminf_n  \int_{\mathbb{R}^{N}}V(|x|) f^2 (u_n ) dx.
\end{equation}
Passing to a subsequence, which we still label $\left\{ u_{n}\right\}_n $, we can assume
\begin{equation}
	\label{EQPS3}
	\int_{\mathbb{R}^{N}}V(|x|) f^2 (u ) dx = \lim_n \int_{\mathbb{R}^{N}}V(|x|) f^2 (u_n ) dx.
\end{equation}
By Lemma \ref{lem:properties}, we infer that $||u- u_n ||_o \rightarrow 0$. Repeating the previous arguments for this subsequence, we get again (\ref{EQPS1}). which now gives
$$
\int_{\mathbb{R}^{N}}| \nabla u |^2 dx \geq \liminf_n \int_{\mathbb{R}^{N}}| \nabla u_n |^2 dx
$$
and hence
$$
\int_{\mathbb{R}^{N}}| \nabla u |^2 dx = \liminf_n \int_{\mathbb{R}^{N}}| \nabla u_n |^2 dx .
$$
Passing again to a subsequence if necessary, we may assume
$$
\int_{\mathbb{R}^{N}}| \nabla u |^2 dx = \lim_n \int_{\mathbb{R}^{N}}| \nabla u_n |^2 dx .
$$
\noindent As $u_n \rightharpoonup u$ in $D_r^{1,2} \left(\mathbb{R}^{N}\right) $, we conclude that $u_n \rightarrow u$ in $D_r^{1,2} \left(\mathbb{R}^{N}\right) $, that is
$||u- u_n ||_{1,2} \rightarrow 0$, and therefore $||u - u_n || = ||u- u_n ||_o + ||u- u_n ||_{1,2}\rightarrow 0$.
\endproof

We can now easily conclude the proof of Theorem \ref{THM:ex}.

\proof[Proof of Theorem \ref{THM:ex}.]
Taking $\rho$ and $v$ as in $(2)$ of Lemma \ref{LE:MP0}, we have $0=J(0) <\rho<J(v)$, so that  $v$ and $0$ are in two distinct
connected components of $E1setminus S_{\rho}$. Together with Lemma \ref{LE:MP0}, this shows that all the hypoteses of the Mountain Pass Lemma \ref{MPLemma} are satisfied, so that we get a critical point $u \not= 0$ of $I$. As $g(t)=0$ for $t<0$ (cf. Remark \ref{RMK:thm:ex}), it is a standard task to get that the negative part $u^{-}$ of $u$ is zero (see for example the proof of Theorem 7.1 in \cite{BGR_quasi}), that is, $u$ is nonnegative.
\endproof

\section{Examples}\label{SEC:EX}

\noindent In this section we give some examples of applications of our existence results. In all the analogous applications (except one) contained in our previous paper \cite{BGR_quasi}, we had to assume that $K$ vanishes as $r \rightarrow 0$. Therefore, here we limit ourselves to give examples in which this does not happen. We also point out that all our examples do not satisfy the hypotheses of the results of \cite{Uberlandio2}, which is the other main reference about the problem under consideration.

As usual, we let $N\geq 3$ and assume hypothesis ${\bf (H)}$. Just for simplicity, in all the examples we shall consider the model nonlinearity $g(t)= \min \{ t^{q_1 -1}, t^{q_2 -1} \}$.

\begin{exa} \label{ex1}
	This first example is a very simple one: set $K(r)= 1 $ and $V(r)= 1/r^2$ for all $r>0$. Computing the coefficients of \cite{Uberlandio2}, we find $a_0 = -2$ and $b_0 = 0$, so that the results in \cite{Uberlandio2} cannot be applied, because they need $a_0 \geq b_0$ (see \cite[Theorem 1.1]{Uberlandio2}). Instead, if we set $\alpha_0 = \alpha_{\infty}= \beta_0 = \beta_{\infty}=0$, we get
	$$
	q_{0}^* (\alpha_0 , \beta_0 ) = q_{\infty}^* (\alpha_{\infty},\beta_{\infty}) = \frac{2N}{N-2}
	$$
	and thus we get existence results for nonlinearities $g(t)= \min \{ t^{q_1 -1} , t^{q_2 -1} \}$ with $ 4 < q_1 < \frac{2N}{N-2}< q_2$.
\end{exa}

\begin{exa} \label{ex2}
	Assume that
	$$K(r) = \frac{1}{r^{\gamma}} \quad \quad \mbox{for} \,\, r\in (0,1), \quad \quad
	K(r) = \frac{1}{r^{\delta}} \quad \quad \mbox{for} \,\, r>1, $$
	where $0< \delta < \gamma <2$, and suppose that $V$ just satisfies $\bf (H)$, without any further assumption on its asymptotic behavior as $r \rightarrow +\infty$.

	Computing the coefficients $b, b_0$ in \cite{Uberlandio2}, one gets $b \geq -\delta$ and $b_0=-\gamma$, whence $b >b_0$. As a consequence, the results of \cite{Uberlandio2} cannot be applied, because they need $b_0\geq b$. If we set $\beta_0 = \beta_{\infty}=0$, $\alpha_0 =-\gamma$, $\alpha_{\infty}=- \delta$, we get
	$$
	q_{0}^* (\alpha_0 , \beta_0 ) = 2\, \frac{N-\gamma}{N-2}, \quad q_{\infty}^* (\alpha_{\infty},\beta_{\infty}) =2\, \frac{N-\delta}{N-2} ,
	$$
	so that, by the hypotheses on $\delta$ and $\gamma$,
	$$
	2< q_{0}^* (\alpha_0 , \beta_0 ) <q_{\infty}^* (\alpha_{\infty},\beta_{\infty}) .
	$$
	Hence we can apply our existence result to nonlinearities of the form $g(t)= \min \{ t^{q_1 -1} , t^{q_2 -1} \}$ with
	$$4 < q_1 < 4 \,\frac{N-\gamma}{N-2}<4 \,\frac{N-\delta}{N-2}<q_2 .$$

\end{exa}

\begin{exa} \label{ex3}
	Assume that there exists $\gamma >1$ such that
	$$K(r) = \frac{1}{r} \quad {\mbox as} \; r \rightarrow 0^+ , \quad \quad  K(r)
	=\frac{1}{r^{\gamma}} \quad {\mbox as} \; r \rightarrow +\infty $$
	and, as in the previous example, suppose that $V$ just satisfies $\bf (H)$, without further assumptions on its behavior at $+\infty$.

	Computing the coefficients $a_0, b_0$ of \cite{Uberlandio2}, one gets $a_0=-2$ and $b_0=-1$, so that \cite[Theorem 1.1]{Uberlandio2} cannot be applied, because it needs $a_0 \geq b_0$. If we set $\beta_0 = \beta_{\infty}=0$, $\alpha_0 = -1$ and $\alpha_{\infty}=-\gamma$, we get
	$$
	q_{0}^* (\alpha_0 , \beta_0 ) = \,\frac{-2 +2N}{N-2}> 2, \quad q_{\infty}^* (\alpha_{\infty},\beta_{\infty})=2\, \frac{N-\gamma}{N-2} <q_{0}^* (\alpha_0 , \beta_0 ) .
	$$
	\noindent So we can apply our existence result to nonlinearities $g(t)= \min \{ t^{q_1 -1} , t^{q_2 -1} \}$ with
	$$4 < q_1 < 4 \,\frac{N-1}{N-2}, \quad 4 \, \frac{N-\gamma}{N-2} <q_2 , \quad q_1 \leq q_2 .$$
	In particular, setting $\bar{q} = \max \left\{ 4, 4\frac{N-\gamma}{N-2} \right\}$, we can choose
	$q_1 =q_2 =q \in \left( \bar{q}, 4 \,\frac{N-1}{N-2} \right)$ and we get an existence result for a standard power-type nonlinearity $g(t)= t^{q -1} $. If $\gamma \geq 2$, we have $\bar{q}=4$ and such a result holds for $q \in \left( 4 , 4 \, \frac{N-1}{N-2} \right)$.

\end{exa}

\begin{exa} \label{ex4}
	Assume that
	$$K(r) = \frac{1}{r^{\gamma}} \quad \quad \mbox{for} \,\, r\in (0,1), \quad \quad K(r) = \frac{1}{r^{\delta}} \quad \quad \mbox{for} \,\, r>1, $$
	with $0< \delta  $ and $0< \gamma <2$, and that
	$$
	V(r)= \frac{1}{r^2} \quad \quad \mbox{for} \,\, r\in (0,1), \quad \quad V(r) = e^{-r} \quad \quad \mbox{as} \,\, r\rightarrow +\infty .
	$$
	The results of \cite{Uberlandio2} cannot be applied, because they need a power-type decay of $V(r)$ at infinity. Instead, we can apply our results exactly as in Example \ref{ex2}, setting $\beta_0 =\beta_{\infty} =0$, $\alpha_0 = -\gamma $ and $\alpha_{\infty} = - \delta$. Then we get existence results for nonlinearities $g(t)= \min \{ t^{q_1 -1} , t^{q_2 -1} \}$ with
	$$4 < q_1 < 4 \,\frac{N-\gamma}{N-2}, \quad 4 \,\frac{N-\delta}{N-2}<q_2 , \quad q_1 \leq q_2.$$
	If $\delta >2$, we can pick $q_1 =q_2 = q \in \left( 4, \, 4 \, \frac{N-\gamma}{N-2} \right)$ and such results thus concern nonlinearities $g(t) = t^{q-1}$.

\end{exa}

\begin{exa} \label{ex5}
	Assume that
	$$K(r) = \frac{e^r}{r} \quad \quad \mbox{for all} r>0, $$
	and
	$$
	V(r)= \frac{1}{r^2} \quad \quad \mbox{for} \,\, r\in (0,1), \quad \quad V(r) = e^{r} \quad \quad \mbox{as} \,\, r\rightarrow +\infty .
	$$
	The results of \cite{Uberlandio2} cannot be applied, because they need a power-type growth of $K(r)$ at infinity. We can apply our results setting
	$\alpha_0 = \alpha_{\infty}=-1 $, $\beta_0 = 0$ and $\beta_{\infty} =1$. Then we get
	$$
	q_{0}^* (\alpha_0 , \beta_0 ) = \,\frac{-2 +2N}{N-2}> 2, \quad q_{\infty}^* (\alpha_{\infty},\beta_{\infty})=2\, \frac{N-3}{N-2},
	$$
	which gives existence results for nonlinearities $g(t)= \min \{ t^{q_1 -1} , t^{q_2 -1} \}$ with
	$$4< q_1 < 4\, \frac{N-1}{N-2}, \quad q_2 >4\, \frac{N-3}{N-2}, \quad q_1 \leq q_2.$$
	In particular we can choose $g(t)= t^{q-1}$ with
	$q_1 =q_2 =q \in \left( 4, \, 4\, \frac{N-1}{N-2} \right)$.

\end{exa}

\begin{exa} \label{ex6}
	As a last example, assume
	$$K(r) = |\log r | \quad \quad \mbox{for} \,\, r\rightarrow 0^+, \quad \quad K(r) = \frac{1}{r^{2}} \quad \quad \mbox{for} \,\, r>1 $$
	and suppose that $V$ satisfies nothing other than $\bf (H)$. The results of \cite{Uberlandio2} cannot be applied, because they need a power-type behavior of $K(r)$ at zero. On the one hand, we can assume  $\beta_{\infty} =0$ and  $\alpha_{\infty} =-2$, which gives
	$q_{\infty}^* (\alpha_{\infty},\beta_{\infty})=2.$

	On the other hand, fix $q \in \left( 4, \, 4 \, \frac{N}{N-2} \right)$ and pick $\alpha_0 <0$ small enough that
	$q <\, 4 \, \frac{N+ \alpha_0}{N-2}$. Together with $\beta_0 =0$, this gives
	$$q_{0}^* (\alpha_{0},\beta_{0})=\, 2\, \frac{N+ \alpha_0}{N-2}.$$
	So we obtain existence results for every $4 < q_1 < 4\, \frac{N+ \alpha_0}{N-2}$ and $q_2 >4$. As we can take $q_1 = q_2 =q$ (where $q$ is the same we have choosen before), we get an existence result for every nonlinearity $g(t)= t^{q-1}$ with $q \in \left( 4, \, 4 \, \frac{N}{N-2} \right)$.

\end{exa}

redpajama_set_name: RedPajamaArXiv


Thank YOU! The stable on the base I'm stationed at is old and abandoned. I've tried to bring up fixing the stables but that's as far as that went.
Quarter horses and paints are by far my favorite.
Indy Pics. I'm Bias Of Course But I Think He Is Soooo Pretty.
He's a good looking guy!


WASHINGTON — The Defense POW/MIA Accounting Agency (DPAA) announced today that Army Air Forces 2nd Lt. Walter B. Stone, 24, of Andalusia, Alabama, killed during World War II, was accounted for on Feb. 20, 2019.
Of the 16 million Americans who served in World War II, more than 400,000 died during the war. Currently there are 72,731 service members (approximately 26,000 are assessed as possibly-recoverable) still unaccounted for from World War II. Stone's name is recorded on the Tablets of the Missing at the Ardennes American Cemetery, an American Battle Monuments Commission site in Neupré, Belgium, along with the others missing from WWII. A rosette will be placed next to his name to indicate he has been accounted for.
Stone will be buried May 11, 2019, in his hometown.


Support » Plugin: Starbox - the Author Box for Humans » Works well but..
It all works well except for mine, the word "at" seems to be HUGE. For example, "founder AT ****" the word at is somehow twice the size no matter which theme I use. solutions :(?


text:
To Count Our Days: a history of Columbia Theological Seminary
An interview from Vantage magazine with Erskine Clarke, Professor Emeritus of American Religious History about his new book on the history of Columbia Theological Seminary
Columbia Theological Seminary's rich history provides a window into the…
For the Bookshelf: Introduction to the Devout Life
Born in 1567 into a wealthy family, Francis de Sales received a wonderful education as the oldest of thirteen children.
At age fifteen, his father arranged for him to attend the University of Paris, with the intention that he would…
The Third Spiritual Alphabet
The author, Francisco de Osuna, was born in 1492, in the town of Osuna in southern Spain. His family was in the service of a count. At the age of eighteen, he was attracted to the priesthood. After three years…
A Spirituality Reading List for 2019
A Spirituality Reading List by Fives
Israel Galindo, Associate Dean for Lifelong Learning and Director of Online Education
Someone recently asked me for a reading list of books on spirituality. I'll start by confessing that coming up with this…
For the Bookshelf: On Prayer—Conversation with God
December 24, 2018—John Calvin was the great Protestant reformer from France, who ultimately pastored the church in Geneva. During his Christian journey and ministry as a reformed pastor, he wrote and frequently revised the classical work of theology, Institutes of…
For the Bookshelf: The Complete Fenelon
December 10, 2018—Francois Fenelon was born in France in 1651. Fenelon pursued a career in the church. He completed his doctorate and was ordained at the age of twenty-six. He began preaching and writing. Fenelon became influential as a tutor…
Planning and Organizing for Christian Education Formation
December 3, 2018—At the heart of much of what is wrong with the educational program in many churches today is a continued failure to understand the unique corporate nature of both faith and Christian education formation. And while there is…
For the Bookshelf: The Spiritual Guide
October 22, 2108—Miguel de Molinos was a prominent Catholic mystic. He was born in Saragossa, Spain in about 1627. He attended a Jesuit college, became a priest, and earned a doctorate in theology. When in his early forties, he went…
For the Bookshelf: The Interior Castle
October 8, 2018—Teresa de Ahumada y Cepeda entered a convent at twenty years of age and battled many illnesses. Yet her devout convent life and intense prayer practices, led to supernatural experiences, including trances in which she was paralyzed for…
For the Bookshelf: The Spiritual Exercises of St. Ignatius
September 10, 2018—Ignatius of Loyola was born as Inigo de Loyola, near the end of the 15th Century. The beginning of the 16th Century was a time of intellectual discovery which was accompanied by religious turmoil. Ignatius was born into…
For the Bookshelf: True Christianity
August 20, 2018—Johann Arndt was a German Lutheran theologian, serving some time as a pastor. He lived in the late 16th and early 17th century (1555-1621). He was born to a Lutheran pastor who served as a chaplain to a…
For the Bookshelf: The Scale of Perfection
July 16, 2018—Walter Hilton was born in 1343 and studied church law at Cambridge. At about the age of forty-three, after spending some period of time as a hermit, he began to lead a semi-monastic life with other priests in…
For the Bookshelf: The Imitation of Christ
June 18, 2018—At the very beginning of the 15th Century, the German, Thomas a Kempis, became a monk in an Augustinian monastery in the Netherlands. This monastery was comprised of priests who were members of the Brethren of Common Life,…
For the Bookshelf: Revelations of Divine Love
June 4, 2018—The first confirmed English woman writer was Julian of Norwich. At the age of thirty years, Julian experienced a series of revelations or showings which manifested themselves in her senses, in her mind, and through insights exceeding her…
For the Bookshelf: Leaders Who Last—Sustaining Yourself and Your Ministry
June 5, 2017—In Leaders Who Last: Sustaining Yourself and Your Ministry, Margaret J. Marcuson has written a deceptively simple book that should be insinuated into the Christmas stockings of your clergy friends who are anxious about coping with the stresses…


text:
Being A Man, Part 2: Brooklyn, New York
March 2, 2018 March 15, 2018 / Eric
Sgt. Terry Jeffords, NYPD. (Universal Television)
As another television police procedural show explains at the beginning of every episode, the police are tasked with investigating crimes to serve the people. The people of New York City— and Brooklyn, especially—are served by one Sergeant Terry Jeffords of the 99th precinct, created by the same minds that brought us Parks and Recreation.
Whether you know him as The Ebony Falcon or the much simpler "Scary Terry," Jeffords is an easily-recognized figure in the precinct. At six feet, four inches tall and 240 pounds of muscle and suspenders, he could cast a shadow over any of his colleagues, if he weren't holding one of them over his own head. A chest bump with this former Syracuse University linebacker will end with someone on the floor. When Terry slams an office door, he causes structural damage.
When the audience meets Terry Jeffords in the series' pilot episode, he is on desk duty after firing a combined eighteen rounds into two unarmed suspects while investigating a case.
Fortunately, the suspects were a mannequin and a piñata. After the brith of his twin daughters, Cagney and Lacey, Jeffords struggled with a fear of them growing up without a father. In contrast with the stereotypical "large black man" on TV, Jeffords frequently, and often in third-person, shares his softer side. Terry Jeffords is a devoted father, gifted artist, and an unfaltering pillar of support to his friends. He is intimidated by his somehow-bigger brother-in-law, who refers to him as "Tiny Terry." He overcame obesity and struggled with a food addiction. After being detained by a fellow officer for being black in his own middle-class neighborhood, he struggles to balance the immediate consequences and the world he wants his baby girls to grow up in.
Terry Jeffords, artist. (Universal Television)
Many of Jeffords' traits are lifted from the real life of Terry Crews, the NFL player-turned-actor for whom the role was created. As an actor, Crews has moved from action movies to drama to comedy, managing to design furniture, build computers, and illustrate magazine covers in between.
In fall 2017, as women worldwide came together to speak about their experiences as victims of harassment and sexual assault, Crews became an outspoken male voice within the #MeToo movement. Crews detailed his experience being groped several years earlier by a well-known Hollywood agent and his reaction to it. In November 2017, Crews filed a report with the real-life Los Angeles Police Department.
This whole thing with Harvey Weinstein is giving me PTSD. Why? Because this kind of thing happened to ME. (1/Cont.)
— terrycrews (@terrycrews) October 10, 2017
He was met with a mixed response. While many applauded his willingness to come forward, many did not. Russell Simmons, music producer and co-founder of Def Jam Recordings, encouraged Crews to "give [his abuser] a pass." Twitter trolls decided that the victim of male-on-male sexual assault had to be gay (an attack also levied against actor Anthony Rapp, who recently accused Kevin Spacey of an assault in the 1980s). Others questioned Crews' masculinity because he did not respond with violence.
"My wife told me, three years earlier, she said 'Terry, never handle any situation like this with violence. You are a target. You can be baited and pulled if you react physically.' . . . If I would have just retaliated, in defense, I would be in jail right now. And that's one thing I knew, being a large, African-American man, I would be seen as a thug. But I'm not a thug. I'm an artist." (Good Morning America)
There is a debate whether the #MeToo movement should limited to women, but Crews' voice is needed in the fight against sexual abuse. 1 in 6 men experience sexual abuse in their lifetime, but 87% do not report the incident. In the weeks and months since Crews filed his report, more men have come forward with similar incidents in their own lives.
Terry, whether Crews or Jeffords, subverts the stereotype of what a man is. He has spoken openly about the challenges he has faced (writing "Manhood: How to Be a Better Man or Just Live with One" in the process), and remains committed to the fight against sexual abuse.
Next week we visit a land of make believe to see one of America's favorite men.
Brooklyn nine nine, sexual abuse, Terry crews, Terry jeffords
← Being A Man, Part 1: Pawnee, Indiana
Being A Man, Part 3: The Neighborhood →


text:
Q: JVM G1 survivor space capacity is 0 Considering the following JVM settings:
-d64 -server -Xms40g -Xmx40g -XX:+UseG1GC -XX:NewRatio=1 -XX:G1ReservePercent=10 -XX:MaxGCPauseMillis=100 -XX:InitiatingHeapOccupancyPercent=30 -verbose:gc -Xloggc:/var/log/gc_solr.log -XX:PermSize=728m -XX:MaxPermSize=728m

jmap gives the following:
Heap Configuration:
   MinHeapFreeRatio = 40
   MaxHeapFreeRatio = 70
   MaxHeapSize      = 42949672960 (40960.0MB)
   NewSize          = 1363144 (1.2999954223632812MB)
   MaxNewSize       = 17592186044415 MB
   OldSize          = 5452592 (5.1999969482421875MB)
   NewRatio         = 1
   SurvivorRatio    = 8
   PermSize         = 754974720 (720.0MB)
   MaxPermSize      = 763363328 (728.0MB)
   G1HeapRegionSize = 16777216 (16.0MB)

Heap Usage:
G1 Heap:
   regions  = 2560
   capacity = 42949672960 (40960.0MB)
   used     = 100663296 (96.0MB)
   free     = 42849009664 (40864.0MB)
   0.234375% used
G1 Young Generation:
Eden Space:
   regions  = 6
   capacity = 22548578304 (21504.0MB)
   used     = 100663296 (96.0MB)
   free     = 22447915008 (21408.0MB)
   0.44642857142857145% used
Survivor Space:
   regions  = 0
   capacity = 0 (0.0MB)
   used     = 0 (0.0MB)
   free     = 0 (0.0MB)
   0.0% used
G1 Old Generation:
   regions  = 0
   capacity = 20401094656 (19456.0MB)
   used     = 0 (0.0MB)
   free     = 20401094656 (19456.0MB)
   0.0% used
Perm Generation:
   capacity = 754974720 (720.0MB)
   used     = 21380584 (20.390113830566406MB)
   free     = 733594136 (699.6098861694336MB)
   2.831960254245334% used

I don't understand why the Survivor space capacity is 0?
I have tried different combination of NewRatio / SurvivorRatio but without much success.
What does the Survivor space depends on? I thought it was supposed to be a ratio of the eden space.

A: So at the end it was simple. The capacity of the survivor space is shown when the app starts to use it.
That was quite confusing...

redpajama_set_name: RedPajamaStackExchange