Ju n 20 09 Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity ∗

In this paper we use a concentration and compactness argument to prove the existence of a nontrivial nonradial solution to the nonlinear Schrödinger-Poisson equations in R3, assuming on the nonlinearity the general hypotheses introduced by Berestycki & Lions. Introduction We consider the following Schrödinger-Poisson system { −∆u + qφu = g(x, u) in… CONTINUE READING