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

Abstract In this paper, we investigate a nonlinear fractional Schrödinger system with linear couplings as follows: {(−Δ)αu+(1+a(x))u=Fu(u,v)+λv,in R3,(−Δ)αv+(1+b(x))v=Fv(u,v)+λu,in R3,u,v∈Hα(R3), $$ \textstyle\begin{cases} (-\Delta )^{\alpha }u+(1+a(x))u=F_{u}(u,v)+\lambda v,& \text{in } \mathbb...

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Bibliographic Details
Main Authors: Xinsheng Du, Anmin Mao, Ke Liu
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-020-2297-y