The perimeter inequality for Steiner symmetrization: cases of equality
Miroslav Chlebík, Andrea Cianchi,and Nicola Fusco
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Submission date: 13. May. 2002
published in: Annals of mathematics, 162 (2005) 1, p. 525-555
DOI number (of the published article): 10.4007/annals.2005.162.525
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
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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.