Sufficient and necessary conditions for ground state sign-changing solutions to the Schrodinger-Poisson system with cubic nonlinearity on bounded domains

In this paper we are interested in the existence of ground state sign-changing solutions to the following Schrodinger-Poisson system {-Delta u + phi u = lambda u + mu vertical bar u vertical bar(2) u in Omega -Delta phi = u(2) in Omega u = phi= 0 on partial derivative Omega, where Omega is a bounded smooth domain of R-3, mu > 0,lambda 0, which improves the recent results by Khoutir (2021). (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates the existence of ground state sign-changing solutions in the Schrodinger-Poisson system, improving upon recent results by Khoutir (2021). Omega is a bounded smooth domain in R-3, with mu > 0 and lambda > 0.