Existence of least energy nodal solution for a Schr\"odinger-Poisson system in bounded domains

TL;DR

This paper proves the existence of the least energy nodal solutions for a Schrödinger-Poisson system within bounded domains, focusing on nonlinearities with subcritical growth.

Contribution

It establishes the existence of least energy nodal solutions for Schrödinger-Poisson systems in bounded domains, a novel result in this context.

Findings

Existence of least energy nodal solutions proven

Applicable to nonlinearities with subcritical growth

Advances understanding of Schrödinger-Poisson systems in bounded domains

Abstract

We prove the existence of least energy nodal solution for a class of Schr\"odinger-Poisson system in a bounded domain $\Omega \subset \mathbb{R}^3$ with nonlinearity having a subcritical growth.