Calculus of Variations and Geometric Measure Theory

C. Gambicchia - A. Pratelli

The sharp quantitative barycentric isoperimetric inequality for bounded sets

created by pratelli on 28 May 2024



Inserted: 28 may 2024
Last Updated: 28 may 2024

Year: 2024


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}.