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 functions for sets of finite perimeter having segments as orthogonal sections with respect to an hyperplane.
Rigidity of equality cases in Steiner's perimeter inequality / Cagnetti, F; Colombo, M; De Philippis, G; Maggi, F. - In: ANALYSIS & PDE. - ISSN 2157-5045. - 7:(2014), pp. 1535-1593. [10.2140/apde.2014.7.1535]
Rigidity of equality cases in Steiner's perimeter inequality
Cagnetti F;
2014-01-01
Abstract
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 functions for sets of finite perimeter having segments as orthogonal sections with respect to an hyperplane.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
