%0 Journal Article
%T Multiplicity results for nonlinear elliptic equations
%A Samira Benmouloud
%A Mostafa Khiddi
%A Simohammed Sbai
%J Electronic Journal of Differential Equations
%D 2006
%I Texas State University
%X Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p-2 }u +f quad hbox{in } Omega cr u=0 quad hbox{on } partialOmega }$$ has at least three solutions in $H_{0}^{1}(Omega)$.
%K Semilinear elliptic equations
%K critical Sobolev exponent.
%U http://ejde.math.txstate.edu/conf-proc/14/b2/abstr.html