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__a147,
     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__a147/}
}
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Catrina,  Florin. On a Brezis-Nirenberg type problem. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a147/