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

Shaowei Chen and Liqin Xiao

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We consider a Schrödinger‐Poisson system in ℝ3 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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https://doi.org/10.1155/2014/240208

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:240208

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