On the Schrodinger-Maxwell equations under the effect of a general nonlinear term

TL;DR

This paper proves the existence of nontrivial solutions to the Schrödinger-Maxwell equations in three-dimensional space with a broad class of nonlinearities, extending previous theoretical frameworks.

Contribution

It establishes existence results for solutions under general nonlinear conditions using Berestycki & Lions hypotheses, broadening the understanding of Schrödinger-Maxwell systems.

Findings

Existence of nontrivial solutions proven

Applicable to a wide class of nonlinearities

Extends previous theoretical results

Abstract

In this paper we prove the existence of a nontrivial solution to the nonlinear Schrodinger-Maxwell equations in $\R^3,$ assuming on the nonlinearity the general hypotheses introduced by Berestycki & Lions.