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. © 2003 Académie des sciences. Published by Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

Smets, D., Willem, M., Secchi, S. (2003). Remarks on a Hardy-Sobolev inequality. COMPTES RENDUS MATHÉMATIQUE, 336(10), 811-815 [10.1016/S1631-073X(03)00202-4].

Remarks on a Hardy-Sobolev inequality

SECCHI, SIMONE
2003

Abstract

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. © 2003 Académie des sciences. Published by Éditions scientifiques et médicales Elsevier SAS. All rights reserved.
Articolo in rivista - Articolo scientifico
Hardy-Sobolev inequalities
English
2003
336
10
811
815
none
Smets, D., Willem, M., Secchi, S. (2003). Remarks on a Hardy-Sobolev inequality. COMPTES RENDUS MATHÉMATIQUE, 336(10), 811-815 [10.1016/S1631-073X(03)00202-4].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/9475
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