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MiS Preprint
41/2002

The perimeter inequality for Steiner symmetrization: cases of equality

Miroslav Chlebík, Andrea Cianchi and Nicola Fusco

Abstract

Steiner symmetrization is known not to increase perimeter of sets in R^n. The sets whose perimeter is preserved under this symmetrization are characterized in the present paper.

Received:
May 13, 2002
Published:
May 13, 2002
MSC Codes:
49K10, 49Q20, 26D10
Keywords:
sets of finite perimeter, functions of bounded variation, steiner symmetrization

Related publications

inJournal
2005 Repository Open Access
Miroslav Chlebik, Andrea Cianchi and Nicola Fusco

The perimeter inequality under Steiner symmetrization : cases of equality

In: Annals of mathematics, 162 (2005) 1, pp. 525-555