On anisotropic Sobolev spaces

Hoai-Minh Nguyen; Marco Squassina

doi:10.1142/S0219199718500177

On anisotropic Sobolev spaces

Hoai-Minh Nguyen
, Marco Squassina^*

^*Corresponding author

Swiss Federal Institute of Technology Lausanne

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	2242-2269
Number of pages	28
Journal	Communications in Contemporary Mathematics
DOIs	https://doi.org/10.1142/S0219199718500177
Publication status	Published - 2019

Keywords

anisotropic spaces

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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.",

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

year = "2019",

doi = "10.1142/S0219199718500177",

language = "English",

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journal = "Communications in Contemporary Mathematics",

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AU - Nguyen, Hoai-Minh

AU - Squassina, Marco

PY - 2019

Y1 - 2019

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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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