Multiple solutions for a elliptic system in exterior domain

Electronic Journal of Differential Equations

关键词: Exterior domain;    nonlinear elliptic system;    existence result;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we study the existenceof solutions for the nonlinear elliptic system$$displaylines{-Delta u+u=|u|^{p-1}u+lambda vquad hbox{in }Omega,cr-Delta v+v=|v|^{p-1}v+lambda uquad hbox{in }Omega,cru=v=0quad hbox{on }partialOmega,}$$where $Omega$ is a exterior domain in $mathbb{R}^N$, $Ngeq 3$.We show that the system possesses at least one nontrivial positive solution.

【 授权许可】

Unknown