Elliptic problems with critical exponents and Hardy potentials |
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| Authors: | D. Ruiz M. Willem |
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| Affiliation: | a Department de Análisis Matemático, Universidad de Granada, 18071 Granada, Spain
b Département de Mathématiques pures et appliquées, Université Catholique de Louvain, 1348, Louvain-la-Neuve, Belgium |
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| Abstract: | This paper is devoted to the existence of positive solutions of a Dirichlet problem with critical exponent and a singular potential. Under various assumption on the domain Ω, which include some kinds of unbounded domains, we prove the existence of ground states and of symmetric solutions. |
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| Keywords: | Critical Sobolev exponent Hardy inequality Concentration-compactness Principle of Symmetric Criticality |
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