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 [2].

The sharp quantitative barycentric isoperimetric inequality for bounded sets

Gambicchia, Chiara;Pratelli, Aldo
2024

Abstract

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 [2].
2024
Settore MATH-03/A - Analisi matematica
Length, area, volume, other geometric measure theory; Variational problems in a geometric measure-theoretic setting; Methods involving semicontinuity and convergence; relaxation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/154063
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