Research On The Existence Of Solutions Of Two Types Of Schrodinger-Poisson Systems

This paper mainly studies two kinds of Schrodinger-Poisson systems.Firstly,in this paper,we study the existence and multiplicity of solutions to a class of Kirchhoff-Schrodinger-Poisson system (?)where ?>0,b?0,1<q<2 and f(x,u)is linearly bounded in u at infinity.With the help of variational methods,we get the system possesses nontrivial solution at negative energy.Moreover,we prove the existence and multiplicity of solutions under some assumptions on V,K and f.Secondly,we deal with the following fractional Schrodinger-Poisson problem (?)where s?(3/4,1),and g(x,u)is sublinear growth in u at infinity.We prove that the problem admits at least a nontrivial solution and multiplicity of solutions under some assumptions on V(x)and g(x,u).