A remark on the anisotropic outer Minkowski content

Antonin Chambolle; Luca Lussardi; Stefano Lisini

doi:10.1515/acv-2013-0103

A remark on the anisotropic outer Minkowski content

Antonin Chambolle, Luca Lussardi, Stefano Lisini

Risultato della ricerca: Contributo in rivista › Articolo › peer review

11 Citazioni (Scopus)

Abstract

We study an anisotropic version of the outer Minkowski content of a closed set in R^n. In particular, we show that it exists on the same class of sets for which the classical outer Minkowski content coincides with the Hausdorff measure, and we give its explicit form.

Lingua originale	Inglese
pagine (da-a)	241-266
Numero di pagine	26
Rivista	Advances in Calculus of Variations
Volume	7
DOI	https://doi.org/10.1515/acv-2013-0103
Stato di pubblicazione	Pubblicato - 2014
Pubblicato esternamente	Sì

Keywords

Anisotropic perimeter
Outer Minkowski content

Accesso al documento

10.1515/acv-2013-0103

Altri file e collegamenti

Link a IRIS PubliCatt

Cita questo

@article{04c15d5a1b7f4645956030c40780f4e0,

title = "A remark on the anisotropic outer Minkowski content",

abstract = "We study an anisotropic version of the outer Minkowski content of a closed set in R^n. In particular, we show that it exists on the same class of sets for which the classical outer Minkowski content coincides with the Hausdorff measure, and we give its explicit form.",

keywords = "Anisotropic perimeter, Outer Minkowski content, Anisotropic perimeter, Outer Minkowski content",

author = "Antonin Chambolle and Luca Lussardi and Stefano Lisini",

year = "2014",

doi = "10.1515/acv-2013-0103",

language = "English",

volume = "7",

pages = "241--266",

journal = "Advances in Calculus of Variations",

issn = "1864-8258",

publisher = "Walter de Gruyter GmbH",

}

TY - JOUR

T1 - A remark on the anisotropic outer Minkowski content

AU - Chambolle, Antonin

AU - Lussardi, Luca

AU - Lisini, Stefano

PY - 2014

Y1 - 2014

N2 - We study an anisotropic version of the outer Minkowski content of a closed set in R^n. In particular, we show that it exists on the same class of sets for which the classical outer Minkowski content coincides with the Hausdorff measure, and we give its explicit form.

AB - We study an anisotropic version of the outer Minkowski content of a closed set in R^n. In particular, we show that it exists on the same class of sets for which the classical outer Minkowski content coincides with the Hausdorff measure, and we give its explicit form.

KW - Anisotropic perimeter

KW - Outer Minkowski content

KW - Anisotropic perimeter

KW - Outer Minkowski content

UR - http://hdl.handle.net/10807/55091

U2 - 10.1515/acv-2013-0103

DO - 10.1515/acv-2013-0103

M3 - Article

SN - 1864-8258

VL - 7

SP - 241

EP - 266

JO - Advances in Calculus of Variations

JF - Advances in Calculus of Variations

ER -

A remark on the anisotropic outer Minkowski content

Abstract

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo