Existence Of Ground State Sign-changing Solutions For Fractional Schr?dinger-poisson System With Critical Growth

In this master’s thesis,we study the existence of ground state sign-changing solutions for the following fractional Schradinger-Poisson system with critical growth where V∈ G,(R3,R+),k,λ>0,s∈(3/4,1),t ∈(0,1).In chapter one,we firstly introduce the research background and current sit-uation of Schridinger-Poisson system.Then we summarize the paperns framework and main results.In chapter two,we state some main notations and preliminary results.In chapter three,we mainly discuss the existence,characteristics of energy and asymptotic behavior of ground state sign-changing solutions for the fractional Schr?dinger-Poisson system with critical growth.