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math.FA2025
The double spherical cap rearrangement of planar sets
Chiara Gambicchia
This paper is devoted to the proof of an isoperimetric property of the double spherical cap rearrangement of planar sets under the assumption of disconnection of non-trivial spheri…
math.FA2024
The sharp quantitative barycentric isoperimetric inequality for bounded sets
Chiara Gambicchia, Aldo Pratelli
We prove the sharp quantitative isoperimetric inequality in the case of the barycentric asymmetry, for bounded sets. This generalizes the -D case recently proved in~\cite{BCH}.