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

Pages: 103 - 108, Volume 11, Issue 1, January 2009

doi:10.3934/dcdsb.2009.11.103       Abstract        Full Text (116.5K)       Related Articles

Alessandro Ferriero - Departamento de Matemáticas, Universidad Autónoma de Madrid, Campus de Cantoblanco,28049 Madrid, Spain (email)
Nicola Fusco - Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli “Federico II”, 80126 Napoli, Italy (email)

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

Received: September 2007;      Revised: March 2008;      Published: November 2008.