典型文献
Existence of Nontrivial Solutions for a Class of Nonlinear Fractional Schr?dinger-Poisson System
文献摘要:
This paper is concerned with the following fractional Schr?dinger-Poisson system:{(-△)su+u+φu=λf(u)in R3,(-△)αφ=u2 in R3,where s ∈(3/4,1),α ∈(0,1),λ is 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.
文献关键词:
中图分类号:
作者姓名:
Peng ZHANG;Zhiqing HAN
作者机构:
School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,P.R.China
文献出处:
引用格式:
[1]Peng ZHANG;Zhiqing HAN-.Existence of Nontrivial Solutions for a Class of Nonlinear Fractional Schr?dinger-Poisson System)[J].数学研究及应用,2022(02):162-172
A类:
su+u+
B类:
Existence,Nontrivial,Solutions,Class,Nonlinear,Fractional,Schr,dinger,Poisson,System,This,paper,concerned,following,fractional,system,R3,u2,where,positive,parameter,are,Laplacian,operators,Under,certain,assumptions,we,obtain,existence,least,one,nontrivial,solution,by,using,methods,perturbation,Moser,iterative
AB值:
0.710269
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