Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael (2016), Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities. https://basepub.dauphine.fr/handle/123456789/17052
Type
Document de travail / Working paperExternal document link
https://hal.archives-ouvertes.fr/hal-01286546Date
2016Series title
Cahier de recherche CEREMADE, Université Paris-DauphinePages
9
Metadata
Show full item recordAbstract (EN)
In their simplest form, the Caffarelli-Kohn-Nirenberg inequalities are a two parameter family of inequalities. It has been known that there is a region in parameter space where the optimizers for the inequalities have broken symmetry. It has been shown recently that in the complement of this region the optimizers are radially symmetric. The ideas for the proof will be given.Subjects / Keywords
rigidity results; symmetry breaking; optimal constants; Caffarelli-Kohn-Nirenberg inequalities; symmetry; fast diffusion equationRelated items
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