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math.AP2019
Rigidity of Steiner's inequality for the anisotropic perimeter
Matteo Perugini
The aim of this work is to study the rigidity problem for Steiner's inequality for the anisotropic perimeter, that is, the situation in which the only extremals of the inequality a…
math.AP2019
Rigidity for perimeter inequality under spherical symmetrisation
Filippo Cagnetti, Matteo Perugini, Dominik 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 orthogo…