Balls are shown to have the smallest optimal constant, among all admissible Euclidean domains, in Poincaré type boundary trace inequalities for functions of bounded variation with vanishing median or mean value.
Balls minimize trace constants in BV / Cianchi, Andrea; Vincenzo, Ferone; Carlo, Nitsch; Cristina, Trombetti. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 1435-5345. - STAMPA. - 725:(2017), pp. 41-61.
Balls minimize trace constants in BV
CIANCHI, ANDREA;
2017
Abstract
Balls are shown to have the smallest optimal constant, among all admissible Euclidean domains, in Poincaré type boundary trace inequalities for functions of bounded variation with vanishing median or mean value.
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