Florin Catrina
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
, 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.
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Florin Catrina Department of Mathematics and Computer Science St. John's University Queens, New York 11439, USA email: catrinaf@stjohns.edu |
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