Geodesic
On a Brezis-Nirenberg type problem
Electronic journal of differential equations, Tome 2006 (2006)
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.
Classification : 35J25, 35J70, 35J60
Keywords: positive solution, ground state, symmetry breaking 
@article{EJDE_2006__2006__a47,
     author = {Catrina,  Florin},
     title = {On a {Brezis-Nirenberg} type problem},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1128.35345},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a47/}
}
TY  - JOUR
AU  - Catrina,  Florin
TI  - On a Brezis-Nirenberg type problem
JO  - Electronic journal of differential equations
PY  - 2006
VL  - 2006
UR  - http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a47/
LA  - en
ID  - EJDE_2006__2006__a47
ER  - 
%0 Journal Article
%A Catrina,  Florin
%T On a Brezis-Nirenberg type problem
%J Electronic journal of differential equations
%D 2006
%V 2006
%U http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a47/
%G en
%F EJDE_2006__2006__a47
Catrina,  Florin. On a Brezis-Nirenberg type problem. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a47/