Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 146, pp. 1-10.

Title: On a Brezis-Nirenberg type problem

Author: Florin Catrina (St. John's Univ., Queens, NY, USA)
	 
Abstract: 
 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.
 
Submitted February 17, 2006. Published November 26, 2006.
Math Subject Classifications: 35J25, 35J70, 35J60.
Key Words: Positive solution; ground state; symmetry breaking.