On anisotropic Sobolev spaces

Hoai-Minh Nguyen; Marco Squassina

doi:10.1142/S0219199718500177

On anisotropic Sobolev spaces

Hoai-Minh Nguyen
, Marco Squassina^*

^*Autore corrispondente per questo lavoro

Swiss Federal Institute of Technology Lausanne

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

We investigate two types of characterizations for anisotropic Sobolev and BV spaces. In particular, we establish anisotropic versions of the Bourgain-Brezis-Mironescu formula, including the magnetic case both for Sobolev and BV functions.

Lingua originale	Inglese
pagine (da-a)	2242-2269
Numero di pagine	28
Rivista	Communications in Contemporary Mathematics
DOI	https://doi.org/10.1142/S0219199718500177
Stato di pubblicazione	Pubblicato - 2019

Keywords

anisotropic spaces

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10.1142/S0219199718500177

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title = "On anisotropic Sobolev spaces",

abstract = "We investigate two types of characterizations for anisotropic Sobolev and BV spaces. In particular, we establish anisotropic versions of the Bourgain-Brezis-Mironescu formula, including the magnetic case both for Sobolev and BV functions.",

keywords = "anisotropic spaces, anisotropic spaces",

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

year = "2019",

doi = "10.1142/S0219199718500177",

language = "English",

pages = "2242--2269",

journal = "Communications in Contemporary Mathematics",

issn = "0219-1997",

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T1 - On anisotropic Sobolev spaces

AU - Nguyen, Hoai-Minh

AU - Squassina, Marco

PY - 2019

Y1 - 2019

N2 - We investigate two types of characterizations for anisotropic Sobolev and BV spaces. In particular, we establish anisotropic versions of the Bourgain-Brezis-Mironescu formula, including the magnetic case both for Sobolev and BV functions.

AB - We investigate two types of characterizations for anisotropic Sobolev and BV spaces. In particular, we establish anisotropic versions of the Bourgain-Brezis-Mironescu formula, including the magnetic case both for Sobolev and BV functions.

KW - anisotropic spaces

UR - http://hdl.handle.net/10807/132124

U2 - 10.1142/S0219199718500177

DO - 10.1142/S0219199718500177

M3 - Article

SN - 0219-1997

SP - 2242

EP - 2269

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

ER -

On anisotropic Sobolev spaces

Abstract

Keywords

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