Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System

Shaowei Chen and Liqin Xiao

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

We consider a Schrödinger-Poisson system in 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:240208

DOI: 10.1155/2014/240208

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