Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent

In this note we consider bifurcation of positive solutions to the semilinear elliptic boundary-value problem with critical Sobolev exponent $$displaylines{ -Delta u = lambda u - alpha u^p+ u^{2^*-1}, quad u >0 , quad hbox{in } Omega,cr u=0, quad hbox{on } partialOmega. }$$ where $Omega subset m...

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Bibliographic Details
Main Author: Yuanji Cheng
Format: Article
Language:English
Published: Texas State University 2006-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/135/abstr.thml