Concentration and compactness in nonlinear Schrodinger-Poisson system with a general nonlinearity

Details Concentration and compactness in nonlinear Schrodinger-Poisson system with a general nonlinearity Concentration and compactness in nonlinear Schrodinger-Poisson system with a general nonlinearity

2009-06-29

arxiv.org/abs/0906.5356v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

In this paper we use a concentration and compactness argument to prove the
existence of a nontrivial nonradial solution to the nonlinear
Schrodinger-Poisson equations in R3, assuming on the nonlinearity the general
hypotheses introduced by Berestycki & Lions

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