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.
Gambicchia, C., Merlino, E.M., Ruffini, B., Talluri, M. (2027). Barycentric stability of nonlocal perimeters: the convex case. JOURNAL OF CONVEX ANALYSIS, 34, 1-12 [10.48550/arxiv.2506.03776].
Barycentric stability of nonlocal perimeters: the convex case
Enzo Maria Merlino;Berardo Ruffini;Matteo Talluri
2027
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.File in questo prodotto:
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