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

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...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.460-467-246
Main Authors: Chen, Shaowei, Xiao, Liqin
Format: Article
Language:English
Subjects:
Decomposition
Joining
Linking
Mathematical research
Nonlinear theories
Nonlinearity
Schrodinger equation
Theorems
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Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/240208