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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Format: | Article |
Language: | English |
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Texas State University
2006-10-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2006/135/abstr.thml |