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Extremal functions and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities

Dolbeault, Jean (2010), Extremal functions and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities, Oberwolfach Reports, 7, 1, p. 330-334

Type
Article accepté pour publication ou publié
Lien vers un document non conservé dans cette base
http://hal.archives-ouvertes.fr/hal-00456919/en/
Date
2010
Nom de la revue
Oberwolfach Reports
Volume
7
Numéro
1
Éditeur
European Mathematical Society
Pages
330-334
Métadonnées
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Auteur(s)
Dolbeault, Jean cc
Résumé (EN)
Results on extremal functions of some interpolation inequalities introduced by Caffarelli, Kohn and Nirenberg and of weighted logarithmic Hardy inequalities are briefly reviewed. Some results of radial symmetry or of symmetry breaking are sketched, which result in the statement of an open question. These notes are based on a collaboration with M. Esteban, M. Loss, G. Tarantello and A. Tertikas.
Mots-clés
Caffarelli-Kohn-Nirenberg inequalities