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Stability of the Steiner symmetrization of convex sets

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journal contribution
posted on 2023-06-08, 14:52 authored by Marco Barchiesi, Filippo Cagnetti, Nicola Fusco
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.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of the European Mathematical Society

ISSN

1435-9855

Publisher

European Mathematical Society Publishing House

External DOI

Issue

4

Volume

15

Page range

1245-1278

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2013-05-15

First Open Access (FOA) Date

2013-05-15

First Compliant Deposit (FCD) Date

2013-05-15

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    University of Sussex (Publications)

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    Keywords

    Steiner symmetrizationquantitative isoperimetric inequality

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