Some results on surface measures in Calculus of Variations

G. Bellettini; Maurizio Paolini; Giovanni Bellettini; S. Venturini

doi:10.1007/BF01758994

Some results on surface measures in Calculus of Variations

G. Bellettini, Maurizio Paolini, Giovanni Bellettini, S. Venturini

University of Pisa

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

30 Citazioni (Scopus)

Abstract

We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when Rn is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.

Lingua originale	Inglese
pagine (da-a)	329-359
Numero di pagine	31
Rivista	Annali di Matematica Pura ed Applicata
DOI	https://doi.org/10.1007/BF01758994
Stato di pubblicazione	Pubblicato - 1996

Keywords

Hausdorff measure
Minkowsky content
anisotropy

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10.1007/BF01758994

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title = "Some results on surface measures in Calculus of Variations",

abstract = "We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when Rn is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.",

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author = "G. Bellettini and Maurizio Paolini and Giovanni Bellettini and S. Venturini",

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T1 - Some results on surface measures in Calculus of Variations

AU - Bellettini, G.

AU - Paolini, Maurizio

AU - Bellettini, Giovanni

AU - Venturini, S.

PY - 1996

Y1 - 1996

N2 - We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when Rn is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.

AB - We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when Rn is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.

KW - Hausdorff measure

KW - Minkowsky content

KW - anisotropy

KW - Hausdorff measure

KW - Minkowsky content

KW - anisotropy

UR - http://hdl.handle.net/10807/21410

U2 - 10.1007/BF01758994

DO - 10.1007/BF01758994

M3 - Article

SN - 0373-3114

SP - 329

EP - 359

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

ER -

Some results on surface measures in Calculus of Variations

Abstract

Keywords

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