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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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