Existence of Nontrivial Solutions for a Class of Nonlinear Fractional Schrodinger-Poisson System  

作　　者：Peng ZHANG Zhiqing HAN 

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2022年第2期162-172,共11页数学研究及应用（英文版）

摘　　要：This paper is concerned with the following fractional Schrodinger-Poisson system:{-(Δ)^(s)u+u+φu=λf(u)in R^(3)-(Δ)^(α)φu=u^(2)in R^(3)where s∈(3/4,1),α∈(0,1),λis a positive parameter,(-△)^(s),(-△)^(α)are fractional Laplacian operators.Under certain assumptions on f,we obtain the existence of at least one nontrivial solution of the system by using the methods of perturbation and Moser iterative method.

关 键 词：fractional Schrodinger-Poisson system nontrivial solution perturbation method Moser iterative method 

分 类 号：O175.29[理学—数学]