High energy sign-changing solutions to Schrödinger-Poisson type systems

2015/01/23 by Batkam, Cyril Joel
#35B33 #35J47 #35J50 #35J91 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1501.05942

Abstract

We prove the existence of infinitely many high energy sign-changing solutions for some classes of Schrodinger-Poisson systems in bounded domains, with nonlinearities having subcritical or critical growth. Our approach is variational and relies on an application of a new sign-changing version of the symmetric mountain pass theorem.

Related

• Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
• A sign-changing solution for the Schrödinger-Poisson equation
• Groundstates and infinitely many high energy solutions to a class of nonlinear Schrödinger-Poisson systems
• An infinite sequence of localized nodal solutions for Schrödinger-Poisson system with double potentials
• Planar Schrödinger-Poisson system with steep potential well: supercritical exponential case