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arxiv: 0906.5356 · v1 · submitted 2009-06-29 · 🧮 math.AP

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

classification 🧮 math.AP
keywords compactnessconcentrationgeneralnonlinearnonlinearityschrodinger-poissonargumentassuming
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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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