On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Hoai-Minh Nguyen; Marco Squassina

doi:10.1007/s11854-025-0077-9

On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Hoai-Minh Nguyen, Marco Squassina

Swiss Federal Institute of Technology Lausanne

Risultato della ricerca: Contributo in rivista › Articolo in rivista

2 Citazioni (Scopus)

Abstract

We establish improved versions of the Hardy and Caffarelli-Kohn-Nirenberg inequalities by replacing the standard Dirichlet energy with some nonlocal nonconvex functionals which have been involved in estimates for the topological degree of continuous maps from a sphere into itself and characterizations of Sobolev spaces.

Lingua originale	English
pagine (da-a)	773-797
Numero di pagine	25
Rivista	Journal d'Analyse Mathematique
DOI	https://doi.org/10.1007/s11854-025-0077-9
Stato di pubblicazione	Pubblicato - 2019

Keywords

Hardy inequalities

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10.1007/s11854-025-0077-9

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AB - We establish improved versions of the Hardy and Caffarelli-Kohn-Nirenberg inequalities by replacing the standard Dirichlet energy with some nonlocal nonconvex functionals which have been involved in estimates for the topological degree of continuous maps from a sphere into itself and characterizations of Sobolev spaces.

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On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Abstract

Keywords

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