Remarks on a Hardy–Sobolev inequality |
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| Authors: | Simone Secchi Didier Smets Michel Willem |
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| Institution: | 1. Dipartimento di Matematica, Università di Pisa, via F. Buonarroti, 2, 56127 Pisa, Italy;2. Laboratoire J.-L. Lions, Université Paris 6, 4, pl. Jussieu, BC 187, 75252 Paris cedex 05, France;3. Université Catholique de Louvain, 2, chemin du cyclotron, 1348 Louvain-la-Neuve, Belgium |
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| 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. To cite this article: S. Secchi et al., C. R. Acad. Sci. Paris, Ser. I 336 (2003). |
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