Solitary waves for non-homogeneous Schrödinger–Maxwell system

摘要

In this paper we study the Schrödinger–Maxwell system(MS)1-Δu+V(x)u+ϕu=|u|p-2u+g(x),inR3,-Δϕ=4πu2,inR3in three dimensional space. We prove the existence of infinitely many virtual critical points for the variational functional of problem (MS)1 by a critical point theorem for non-even functional.