The Caffarelli–Kohn–Nirenberg inequalities for radial functions

We establish the full range of the Caffarelli–Kohn–Nirenberg inequalities for radial functions in the Sobolev and the fractional Sobolev spaces of order $0 < s \le 1$. In particular, we show that the range of the parameters for radial functions is strictly larger than the one without symmetric as...

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Bibliographic Details
Main Authors: Mallick, Arka, Nguyen, Hoai-Minh
Format: Article
Language:English
Published: Académie des sciences 2023-10-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.503/
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