The perimeter inequality for Steiner symmetrization: cases of equality

Miroslav Chlebík, Andrea Cianchi, and Nicola Fusco

Contact the author: Please use for correspondence this email.
Submission date: 13. May. 2002
Pages: 31
published in: Annals of mathematics, 162 (2005) 1, p. 525-555 
DOI number (of the published article): 10.4007/annals.2005.162.525
Bibtex
with the following different title: The perimeter inequality under Steiner symmetrization : cases of equality
MSC-Numbers: 49K10, 49Q20, 26D10
Keywords and phrases: sets of finite perimeter, functions of bounded variation, steiner symmetrization
Download full preprint: PDF (710 kB), PS ziped (262 kB)

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.