Rigidity of Steiner’s inequality for the anisotropic perimeter
نویسندگان
چکیده
The aim of this work is to study the rigidity problem for Steiner's inequality anisotropic perimeter, that is, situation in which only extremals are vertical translations Steiner symmetral we considering. Our main contribution consists giving conditions under setting equivalent Euclidean setting. Such given term a restriction possible values normal vectors boundary (see Corollary 1.17, and 1.18).
منابع مشابه
Rigidity of Equality Cases in Steiner Perimeter Inequality
Characterizations results for equality cases and for rigidity of equality cases in Steiner perimeter inequality are presented. (By rigidity, we mean the situation when all equality cases are vertical translations of the Steiner symmetral under consideration.) We achieve this through the introduction of a suitable measure-theoretic notion of connectedness and a fine analysis of barycenter functi...
متن کاملRigidity of Equality Cases in Steiner’s Perimeter Inequality
Characterizations results for equality cases and for rigidity of equality cases in Steiner’s perimeter inequality are presented. (By rigidity, we mean the situation when all equality cases are vertical translations of the Steiner’s symmetral under consideration.) We achieve this through the introduction of a suitable measure-theoretic notion of connectedness and a fine analysis of barycenter fu...
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ژورنال
عنوان ژورنال: Annali della Scuola normale superiore di Pisa. Classe di scienze
سال: 2022
ISSN: ['0391-173X', '2036-2145']
DOI: https://doi.org/10.2422/2036-2145.202011_002