Multiple solutions for a elliptic system in exterior domain

In this paper, we study the existence of solutions for the nonlinear elliptic system $$displaylines{ -Delta u+u=|u|^{p-1}u+lambda v quad hbox{in } Omega, cr -Delta v+v=|v|^{p-1}v+lambda u quad hbox{in } Omega, cr u=v=0 quad hbox{on } partialOmega, }$$ where $Omega$ is a exterior d...

Full description

Bibliographic Details
Main Authors: Xiaohui Yu, Jianfu Yang, Huijuan Gu
Format: Article
Language:English
Published: Texas State University 2008-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/121/abstr.html