Existence of positive solutions for semilinear elliptic systems with indefinite weight

This article concerns the existence of positive solutions of semilinear elliptic system $$displaylines{ -Delta u=lambda a(x)f(v),quadhbox{in }Omega,cr -Delta v=lambda b(x)g(u),quadhbox{in }Omega,cr u=0=v,quad hbox{on } partialOmega, }$$ where $Omegasubseteqmathbb{R}^N (Ngeq1)$ is a bounded d...

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Bibliographic Details
Main Author: Ruipeng Chen
Format: Article
Language:English
Published: Texas State University 2011-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/164/abstr.html