Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222178 | Nonlinear Analysis: Real World Applications | 2018 | 16 Pages |
Abstract
In this paper, we consider the following nonlinear Schrödinger-Poissonequation ââ³u+V(x)u+K(x)Ïu=μa(x)|u|qâ1u+|u|4u,inR3,ââ³Ï=K(x)u2,inR3,where μ is a positive parameter. Under certain assumptions on V(x), K(x) and a(x), we prove that for every μ>0 and qâ(2,5), the Schrödinger-Poisson equation with critical growth has at least a positive ground state solution by variational method.
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Authors
Jingmei Liu, Aixia Qian,