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MiS Preprint

The perimeter inequality for Steiner symmetrization: cases of equality

Miroslav Chlebík, Andrea Cianchi and Nicola Fusco


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.

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

Related publications

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