On a Brezis-Nirenberg type problem

Date
2006-11-26
Authors
Catrina, Florin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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 ℝN, 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.
Description
Keywords
Positive solution, Ground state, Symmetry breaking
Citation
Catrina, F. (2006). On a Brezis-Nirenberg type problem. <i>Electronic Journal of Differential Equations, 2006</i>(146), pp. 1-10.