A note on the convex hull of sets of finite perimeter in the plane

Alessandro Ferriero; Nicola Fusco

doi:10.3934/dcdsb.2009.11.103

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2009, Volume 11, Issue 1: 103-108. Doi: 10.3934/dcdsb.2009.11.103

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A note on the convex hull of sets of finite perimeter in the plane

Alessandro Ferriero^1, and
Nicola Fusco^2,

1.
Departamento de Matemáticas, Universidad Autónoma de Madrid, Campus de Cantoblanco,28049 Madrid
2.
Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli “Federico II”, 80126 Napoli

Received: August 31, 2007

Revised: February 29, 2008

Published: June 2009

Abstract Related Papers Cited by

Abstract

The aim of this paper is to study the minimal perimeter problem for sets containing a fixed set $E$ in $\R^2$ in a very general setting, and to give the explicit solution.

Keywords:

Sets of finite perimeter,
minimal perimeter problems.

Mathematics Subject Classification: Primary: 49Q20, 35J85.

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