Multiple solutions for a singular semilinear elliptic problems with critical exponent and symmetries

We consider the singular semilinear elliptic equation $$ -Delta u-frac{mu }{| x| ^2}u-lambda u=f(x)| u| ^{2^{ast }-1} $$ in $Omega $, $u=0$ on $partial Omega $, where $Omega $ is a smooth bounded domain, in $mathbb{R}^N$, $Ngeq 4$, $2^{ast }:=frac{2N}{N-2}$ is the critical Sobolev exponent, $...

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Bibliographic Details
Main Authors: Alfredo Cano, Sergio Hernandez-Linares, Eric Hernandez-Martinez
Format: Article
Language:English
Published: Texas State University 2010-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/112/abstr.html