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Remarks on a Hardy-Sobolev inequality

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Secchi, S Smets, D Willem, Michel [UCL]

We compute the optimal constant for a generalized Hardy-Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some optimal functions. This inequality was motivated by a nonlinear elliptic equation arising in astrophysics. (C) 2003 Academie des sciences. Published by Editions scientifiques et medicales Elsevier SAS. All rights reserved.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2003
Language Anglais
Journal information "Comptes rendus - Mathématique" - Vol. 336, no. 10, p. 811-815 (2003)
Peer reviewed yes
Publisher Editions Scientifiques Medicales Elsevier (Paris Cedex 15)
issn 1631-073X
e-issn 1778-3569
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Links
Bibliographic reference Secchi, S ; Smets, D ; Willem, Michel. Remarks on a Hardy-Sobolev inequality. In: Comptes rendus - Mathématique, Vol. 336, no. 10, p. 811-815 (2003)
Permanent URL http://hdl.handle.net/2078.1/40909