Cagnetti2020_Article_RigidityForPerimeterInequality.pdf (847.55 kB)
Rigidity for perimeter inequality under spherical symmetrisation
journal contribution
posted on 2023-06-07, 07:13 authored by Filippo Cagnetti, M Perugini, D StögerNecessary 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.
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- Published
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- Published version
Journal
Calculus of Variations and Partial Differential EquationsISSN
0944-2669Publisher
SpringerExternal DOI
Volume
59Page range
1-53Article number
a139Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2020-08-27First Open Access (FOA) Date
2020-08-27First Compliant Deposit (FCD) Date
2020-06-09Usage metrics
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