Existence results for strongly indefinite elliptic systems

In this paper, we show the existence of solutions for the strongly indefinite elliptic system $$displaylines{ -Delta u=lambda u+f(x,v) quadhbox{in }Omega, cr -Delta v=lambda v+g(x,u) quadhbox{in }Omega, cr u=v=0, quadhbox{on }partialOmega, }$$ where $Omega$ is a bounded domain in $mathbb{R}...

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Bibliographic Details
Main Authors: Xiaohui Yu, Ying Ye, Jianfu Yang
Format: Article
Language:English
Published: Texas State University 2008-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/81/abstr.html