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