Existence Of Solutions For A Class Of Schr(?)dinger-poisson System

For past decades, much attention has been paid to the Schr(?)dinger-Poisson system for its important physical significance. In this paper, we study a class of Schr(?)dinger-Poisson system.In chapter 1, we briefly introduce the research background of Schr(?)dinger-Poisson system system and give some preliminay results and notations used in the whole thesis.In chapter 2, we mainly considered existence of positive ground state solution for the following asymptotically periodic Schr(?)dinger-Poisson system (?) where V(x),K(x) and f(x,u) are asymptotically periodic functions in x at infinity.In chapter 3, we research the problem of asymptotically periodic Schr(?)dinger-Poisson system with critical growth (?) where V(x),K(x) and f(x,u) are asymptotically periodic functions in x at infinity.