Positive solution for a nonlinear elliptic equation on symmetric domains

Abstract

We show the existence of a positive solution for the Schrodinger  quasilinear equation with variable exponents above the critical regime. For that matter, we show an embedding into an Orlicz space of functions  modeled over radially symmetric domains.  Then we use a Galerkin method combined with a fixed-point argument  to obtain a solution.   For more information see https://ejde.math.txstate.edu/Volumes/2024/41/abstr.html