Geodesic
On a Brezis-Nirenberg type problem
Electronic Journal of Differential Equations, Tome 2006 (2006).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Catrina, Florin},
     title = {On a {Brezis-Nirenberg} type problem},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2006},
     year = {2006},
     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/