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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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Official URL: https://doi.org/10.1007/s00526-020-01786-6
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 |
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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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