A remark on the anisotropic outer Minkowski content

Luca Lussardi; Antonin Chambolle; Stefano Lisini

doi:10.1515/acv-2013-0103

A remark on the anisotropic outer Minkowski content

Luca Lussardi, Antonin Chambolle, Stefano Lisini

Facoltà di Scienze Matematiche, Fisiche e Naturali

Risultato della ricerca: Contributo in rivista › Articolo in rivista › 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	English
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

Keywords

Anisotropic perimeter
Outer Minkowski content

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10.1515/acv-2013-0103

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AU - Chambolle, Antonin

AU - Lisini, Stefano

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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

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DO - 10.1515/acv-2013-0103

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EP - 266

JO - Advances in Calculus of Variations

JF - Advances in Calculus of Variations

SN - 1864-8258

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