Multiplicity of solutions for a class of fractional p-Kirchhoff system with sign-changing weight functions

Abstract In this paper, we investigate the fractional p-Kirchhoff -type system: {M(∫R2N|u(x)−u(y)|p|x−y|N+psdxdy)(−Δ)psu=μg(x)|u|β−2u+aa+bh(x)|u|a−2u|v|b,in Ω,M(∫R2N|v(x)−v(y)|p|x−y|N+psdxdy)(−Δ)psv=σf(x)|v|β−2v+ba+bh(x)|v|b−2v|u|a,in Ω,u=v=0,in RN∖Ω, $$\begin{aligned} \textstyle\begin{cases} M (\in...

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Bibliographic Details
Main Authors: Yunfeng Wei, Caisheng Chen, Hongwei Yang, Hongxue Song
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-0998-7