Article ID Journal Published Year Pages File Type
4609611 Journal of Differential Equations 2016 31 Pages PDF
Abstract

In this paper, we consider the following nonlinear Schrödinger–Poisson system{−Δu+V(x)u+ϕu=f(x,u),inR3,−Δϕ=u2,inR3, where the nonlinearity f is superlinear at infinity with subcritical or critical growth and V is positive, continuous and periodic in x  . The existence of ground state solutions, i.e., nontrivial solutions with least possible energy of this system is obtained. Moreover, when V≡1V≡1, we obtain ground state solutions for the above system with a wide class of superlinear nonlinearities by using a new approach.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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