Steiner symmetrization does not increase the perimeter of sets in R^n. In this paper we investigate for which sets the perimeter is preserved under symmetrization. In contrast to Schwarz symmetrization, where only balls preserve perimeter, sets that preserve perimeter under Steiner symmetrization need not be Steiner-symmetric before symmetrization.

The perimeter inequality under Steiner symmetrization: cases of equality / M. CHLEBIK; A. CIANCHI; N. FUSCO. - In: ANNALS OF MATHEMATICS. - ISSN 0003-486X. - STAMPA. - 162:(2005), pp. 525-555.

The perimeter inequality under Steiner symmetrization: cases of equality

CIANCHI, ANDREA;
2005

Abstract

Steiner symmetrization does not increase the perimeter of sets in R^n. In this paper we investigate for which sets the perimeter is preserved under symmetrization. In contrast to Schwarz symmetrization, where only balls preserve perimeter, sets that preserve perimeter under Steiner symmetrization need not be Steiner-symmetric before symmetrization.
2005
162
525
555
M. CHLEBIK; A. CIANCHI; N. FUSCO
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/204760
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