Barycentric stability of nonlocal perimeters: the convex case
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866908764374827008 |
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| author | Gambicchia, Chiara Merlino, Enzo Maria Ruffini, Berardo Talluri, Matteo |
| author_facet | Gambicchia, Chiara Merlino, Enzo Maria Ruffini, Berardo Talluri, Matteo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03776 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Barycentric stability of nonlocal perimeters: the convex case Gambicchia, Chiara Merlino, Enzo Maria Ruffini, Berardo Talluri, Matteo Analysis of PDEs 52A38, 49K40, 52A05, 28A75, 49Q10 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. |
| title | Barycentric stability of nonlocal perimeters: the convex case |
| topic | Analysis of PDEs 52A38, 49K40, 52A05, 28A75, 49Q10 |
| url | https://arxiv.org/abs/2506.03776 |