Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent

Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent

Abstract In this paper, we study the following critical system with fractional Laplacian: {(−Δ)su+λ1u=μ1|u|2∗−2u+αγ2∗|u|α−2u|v|βin Ω,(−Δ)sv+λ2v=μ2|v|2∗−2v+βγ2∗|u|α|v|β−2vin Ω,u=v=0in RN∖Ω, $$\textstyle\begin{cases} (-\Delta)^{s}u+\lambda_{1}u=\mu_{1}|u|^{2^{\ast}-2}u+\frac{\alpha \gamma}{2^{\ast}}|u...

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Bibliographic Details
Main Authors: Maoding Zhen, Jinchun He, Haoyuan Xu, Meihua Yang
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Boundary Value Problems
Subjects:
Fractional Laplacian
Critical exponent
Ground state solution
Higher energy solution
Online Access:http://link.springer.com/article/10.1186/s13661-018-1016-9

Internet

http://link.springer.com/article/10.1186/s13661-018-1016-9

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