Stability of the Steiner symmetrization of convex sets

Marco Barchiesi; Filippo Cagnetti; Nicola Fusco

doi:10.4171/jems/391

JournalsjemsVol. 15, No. 4pp. 1245–1278

Stability of the Steiner symmetrization of convex sets

Marco Barchiesi
Università degli Studi di Napoli Federico II, Italy
- MathSciNet
- zbMATH Open
Filippo Cagnetti
University of Sussex, Brighton, UK
- MathSciNet
- zbMATH Open
Nicola Fusco
Università degli Studi di Napoli Federico II, Italy
- zbMATH Open

Download PDF

Abstract

The isoperimetric inequality for Steiner symmetrization of any codimension is investigated and the equality cases are characterized. Moreover, a quantitative version of this inequality is proven for convex sets.

Cite this article

Marco Barchiesi, Filippo Cagnetti, Nicola Fusco, Stability of the Steiner symmetrization of convex sets. J. Eur. Math. Soc. 15 (2013), no. 4, pp. 1245–1278

DOI 10.4171/JEMS/391