Existence of solutions to quasilinear Schrodinger equations with exponential nonlinearity

Abstract

In this article we study the existence of solutions to quasilinear Schrodinger equations in the plane, involving a potential that can change sign and a nonlinear term that may be discontinuous and exhibit exponential critical growth. To prove our existence result, we combine the Trudinger-Moser inequality with a fixed point theorem. For mote information see https://ejde.math.txstate.edu/Volumes/2024/14/abstr.html