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2014 Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System
Shaowei Chen, Liqin Xiao
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/240208

Abstract

We consider a Schrödinger-Poisson system in 3 with a strongly indefinite potential and a general nonlinearity. Its variational functional does not satisfy the global linking geometry. We obtain a nontrivial solution and, in case of odd nonlinearity, infinitely many solutions using the local linking and improved fountain theorems, respectively.

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Shaowei Chen. Liqin Xiao. "Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/240208

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021979
MathSciNet: MR3173273
Digital Object Identifier: 10.1155/2014/240208

Rights: Copyright © 2014 Hindawi

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