Multiple solutions with constant sign for a ( p,q $p,q$)-elliptic system Dirichlet problem with product nonlinear term

Multiple solutions with constant sign for a ( p,q $p,q$)-elliptic system Dirichlet problem with product nonlinear term

Abstract In this paper, we consider the existence of multiple solutions of the homogeneous Dirichlet problem for a ( p,q $p,q$)-elliptic system with nonlinear product term as follows: {−Δpu=λα(x)|u|α(x)−2u|v|β(x)+Fu(x,u,v)in Ω,−Δqv=λβ(x)|u|α(x)|v|β(x)−2v+Fv(x,u,v)in Ω,u=0=von ∂Ω. $$ \textstyle\begin...

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Bibliographic Details
Main Authors: Gang Li, Dumitru Motreanu, Haitao Wu, Qihu Zhang
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Boundary Value Problems
Subjects:
Elliptic system
Dirichlet problem
Cerami condition
Without Ambrosetti–Rabinowitz condition
Constant-sign solution
Online Access:http://link.springer.com/article/10.1186/s13661-018-0979-x

Internet

http://link.springer.com/article/10.1186/s13661-018-0979-x

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