Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 41, pp. 1-24.

Title: Positive solution for nonlinear elliptic equations on symmetric domains

Authors: Luiz F. O. Faria (Univ. Federal de Juiz de Fora, Brazil)
         Marcelo Montenegro (Univ. Estadual de Campinas, Brazil)

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.

Submitted March 14, 2024. Published July 30, 2024.
Math Subject Classifications: 65N30, 35B09, 35J60, 46E30.
Key Words: Positive solution; nonlinear elliptic equation; variable exponents.