Existence of solutions for Schr ouml;dingerPoisson system with asymptotically periodic terms

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.