Rigidity for perimeter inequality under spherical symmetrisation

Cagnetti, F, Perugini, M and Stöger, D (2020) Rigidity for perimeter inequality under spherical symmetrisation. Calculus of Variations and Partial Differential Equations, 59. a139 1-53. ISSN 0944-2669

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Abstract

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.

Item Type: Article
Keywords: 49K21, 49Q10, 49Q20
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 27 Aug 2020 15:27
Last Modified: 27 Aug 2020 15:31
URI: http://sro.sussex.ac.uk/id/eprint/91798

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