The sharp quantitative barycentric isoperimetric inequality for bounded sets

Name: The sharp quantitative barycentric isoperimetric inequality for bounded sets
Author: Chiara Gambicchia, Aldo Pratelli

Chiara Gambicchia, Aldo Pratelli

paper2024-05-28English

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We prove the sharp quantitative isoperimetric inequality in the case of the barycentric asymmetry, for bounded sets. This generalizes the $2$-D case recently proved in~\cite{BCH}.

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