Elliptic problems with critical exponents and Hardy potentials

Ruiz, Diego;Willem, Michel
(2003) Journal of Differential Equations — Vol. 190, n° 2, p. 524-538 (2003)

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Authors
  • Ruiz, DiegoUCLouvain
    Author
  • Willem, MichelUCLouvain
    Author
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 Omega, which include some kinds of unbounded domains, we prove the existence of ground states and of symmetric solutions. (C) 2002 Elsevier Science (USA). All rights reserved.
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Ruiz, D., & Willem, M. (2003). Elliptic problems with critical exponents and Hardy potentials. Journal of Differential Equations, 190(2), 524-538. https://doi.org/10.1016/S0022-0396(02)00178-X (Original work published 2003)