Existence of ground state solutions to a class of fractional Schrödinger system with linear and nonlinear couplings

Existence of ground state solutions to a class of fractional Schrödinger system with linear and nonlinear couplings

Abstract In this paper, we study the existence of ground state solutions to the following fractional Schrödinger system with linear and nonlinear couplings: {(−△)su+(λ1+V(x))u+kv=μ1u3+βuv2,in R3,(−△)sv+(λ2+V(x))v+ku=μ2v3+βu2v,in R3,u,v∈Hs(R3), $$ \textstyle\begin{cases} (-\triangle )^{s}u+(\lambda _...

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Bibliographic Details
Main Authors: Xinsheng Du, Anmin Mao
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Boundary Value Problems
Subjects:
Fractional Schrödinger system
Variational methods
Ground state solution
Nehari manifold
Online Access:http://link.springer.com/article/10.1186/s13661-019-1185-1

Internet

http://link.springer.com/article/10.1186/s13661-019-1185-1

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