Studies On The Existence Of Solutions To Two Kinds Of Kirchhoff-schr?dinger Type Systems

In this paper,we discuss the existence of multiple solutions of two kinds of Kirchhoff-Schrodinger-Poisson system by using variational method.The first chapter mainly introduces the historical background and significance of the research,the research status at home and abroad,the work done in this paper.In the second chapter,we study the existence of solutions to the following Kirchhoff-Schrodinger-Poisson system in i(?)where a?0,b>0,and ?>0 is a parameter.??(1,2)is a constant.In this part,we firstly give some suitable assumptions about V,K,f functions.According to the variational method,its solutions can be regarded as critical points of the energy function.Supposing all the assumptions hold,then the energy function satisfies the(C)C condition.Finally we use the mountain pass theorem to obtain the existence of non-trivial solutions.In the third chapter,we consider the existence of solutions to the following modified Kirchhoff-Schrodinger-Poisson system(?)Where a>0,b?0,1<p<2.This system looks similar to the above system.But because there is a quasilinear term in the system,it makes a big difference in its approach.Under some suitable assumptions on V,K,we use the perturbation method and Clark s theorem to obtain the multiplicity of nontrivial solutions for the problem.