Title of article
Existence of solutions for Schr ouml;dingerPoisson system with asymptotically periodic terms
Author/Authors
Wang ، Da-Bin - Lanzhou University of Technology , Ma ، Lu-Ping - Lanzhou University of Technology , Guan ، Wen - Lanzhou University of Technology , Wu ، Hong-Mei - Lanzhou University of Technology
Pages
11
From page
591
To page
601
Abstract
In this paper, we consider the following nonlinear Schrödinger-Poisson system {−Δu+V(x)u+K(x)ϕu=f(x,u ),x∈R³,−Δϕ=K(x)u²,x∈R3,where~V,K∈L∞(R³) and f:R³×R→R is continuous. We prove that the problem has a nontrivial solution under asymptotically periodic case of V,K, and f at infinity. Moreover, the nonlinear term f does not satisfy any monotone condition.
Keywords
Schrodinger , Poisson system , asymptotically periodic , variational method
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2018
Journal title
Journal of Nonlinear Science and Applications
Record number
2476971
Link To Document