Multiple solutions for Schrodinger equations under the partially sublinear case

TL;DR

This paper proves the existence of infinitely many solutions for a class of sublinear Schrödinger-Poisson equations using an extended Clark's theorem, advancing understanding of nonlinear quantum systems.

Contribution

It introduces an extension of Clark's theorem to establish multiple solutions for sublinear Schrödinger-Poisson equations, a novel approach in this context.

Findings

Proved existence of infinitely many solutions.

Extended Clark's theorem for sublinear cases.

Applied to Schrödinger-Poisson equations.

Abstract

In this paper, we prove the infinitely many solutions to a class of sublinear Schr\"{o}dinger-Poisson equations by using an extension of Clark's theorem established by Zhaoli Liu and Zhi-Qiang Wang.