The Sign-changing Solution Of A Class Of Kirchhoff-Schr(?)dinger-Poisson Systems

In this master's thesis,we study the existence and asymptotic behavior of least energy sign-changing solution for the following Kirchhoff-Schrodinger-Poisson system:where a,b>0,V? C(R3,R1),??C1(R,R).This master's thesis is divided into three chapters.In chapter 1,we introduce the background of the system studied in this paper and the current research situation,as well as the main results of this paper.In chapter 2,we give a brief introduction to some of the markings used in this article,as well as the relevant preparatory knowledge.In chapter 3,by using constraint variational method and the quantitative de-formation lemma,we prove the existence of least energy sign-changing solution ub of this system,and study the energy property of ub.Moreover,we investigate the asymptotic behavior of ub as the parameter b(?)0.