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^*

^*Autore corrispondente per questo lavoro

Swiss Federal Institute of Technology Lausanne

Risultato della ricerca: Contributo in rivista › Articolo

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	Inglese
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

Accesso al documento

10.1007/s11854-025-0077-9

Altri file e collegamenti

Link a IRIS PubliCatt

Cita questo

@article{9d64ed4e5fef45458dfbb2def960ae44,

title = "On Hardy and Caffarelli-Kohn-Nirenberg inequalities",

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.",

keywords = "Hardy inequalities, Hardy inequalities",

author = "Hoai-Minh Nguyen and Marco Squassina",

year = "2019",

doi = "10.1007/s11854-025-0077-9",

language = "English",

pages = "773--797",

journal = "Journal d'Analyse Mathematique",

issn = "0021-7670",

publisher = "Springer New York",

}

TY - JOUR

T1 - On Hardy and Caffarelli-Kohn-Nirenberg inequalities

AU - Nguyen, Hoai-Minh

AU - Squassina, Marco

PY - 2019

Y1 - 2019

N2 - 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.

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.

KW - Hardy inequalities

UR - http://hdl.handle.net/10807/132139

U2 - 10.1007/s11854-025-0077-9

DO - 10.1007/s11854-025-0077-9

M3 - Article

SN - 0021-7670

SP - 773

EP - 797

JO - Journal d'Analyse Mathematique

JF - Journal d'Analyse Mathematique

ER -

On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Abstract

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo