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Rigidity for perimeter inequality under spherical symmetrisation

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posted on 2023-06-07, 07:13 authored by Filippo Cagnetti, M Perugini, D Stöger
Necessary and sufficient conditions for rigidity of the perimeter inequality under spherical symmetrisation are given. That is, a characterisation for the uniqueness (up to orthogonal transformations) of the extremals is provided. This is obtained through a careful analysis of the equality cases, and studying fine properties of the circular symmetrisation, which was firstly introduced by Pólya in 1950.

History

Publication status

  • Published

File Version

  • Published version

Journal

Calculus of Variations and Partial Differential Equations

ISSN

0944-2669

Publisher

Springer

External DOI

Volume

59

Page range

1-53

Article number

a139

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2020-08-27

First Open Access (FOA) Date

2020-08-27

First Compliant Deposit (FCD) Date

2020-06-09

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    Keywords

    49K2149Q1049Q20

    Licence

    CC BY 4.0

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