Scalar-QED \beta-functions near Planck's Scale
The Renormalization Group Flow Equations of the Scalar-QED model near Planck's scale are computed within the framework of the average effective action. Exact Flow Equations, corrected by Einstein Gravity, for the running self-interacting scalar coupling parameter and for the running v.e.v. of $\phi^* \phi$, are computed taking into account threshold effects. Analytic solutions are given in the infrared and ultraviolet limits.