%0 Journal Article
%T On a Brezis-Nirenberg type problem
%A Florin Catrina
%J Electronic Journal of Differential Equations
%D 2006
%I Texas State University
%X In this note we discuss the existence and symmetry breaking of least energy solutions for certain weighted elliptic equations in the unit ball in $mathbb{R}^N$, with zero Dirichlet boundary conditions. We prove a multiplicity result, which answers one of the questions we left open in [6] regarding a Brezis-Nirenberg type problem.
%K Positive solution
%K ground state
%K symmetry breaking.
%U http://ejde.math.txstate.edu/Volumes/2006/146/abstr.html