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January  2009, 11(1): 103-108. doi: 10.3934/dcdsb.2009.11.103

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, Italy

Received  September 2007 Revised  March 2008 Published  November 2008

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: minimal perimeter problems, Sets of finite perimeter.
Mathematics Subject Classification: Primary: 49Q20, 35J85.
Citation: Alessandro Ferriero, Nicola Fusco. A note on the convex hull of sets of finite perimeter in the plane. Discrete and Continuous Dynamical Systems - B, 2009, 11 (1) : 103-108. doi: 10.3934/dcdsb.2009.11.103
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