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arxiv: 1301.5770 · v1 · pith:DA2CQOPKnew · submitted 2013-01-24 · 🧮 math.OC

Balls minimize trace constants in BV

classification 🧮 math.OC
keywords ballstraceadmissibleboundaryboundedconstantconstantsdomains
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Balls are shown to have the smallest optimal constant, among all admissible Euclidean domains, in Poincar\'e type boundary trace inequalities for functions of bounded variation with vanishing median or mean value.

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