C. Gambicchia - E. M. Merlino - B. Ruffini - M. Talluri
Barycentric stability of nonlocal perimeters: the convex case
Submitted Paper
Inserted: 5 jun 2025
Last Updated: 5 jun 2025
Year: 2025
Abstract:
In this work, we establish a sharp form of a nonlocal quantitative isoperimetric inequality involving the barycentric asymmetry for convex sets. This result can be seen as the nonlocal analogue of the one obtained by Fuglede in 1993.