Regularity of the trace of nonlocal minimal graphs
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910003329236992 |
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| author | Dipierro, Serena Savin, Ovidiu Valdinoci, Enrico |
| author_facet | Dipierro, Serena Savin, Ovidiu Valdinoci, Enrico |
| contents | We prove that the trace of nonlocal minimal graphs at points of stickiness is of class~$C^{1,γ}$.
As a result, we show that boundary continuity implies boundary differentiability for nonlocal minimal graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20484 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Regularity of the trace of nonlocal minimal graphs Dipierro, Serena Savin, Ovidiu Valdinoci, Enrico Analysis of PDEs We prove that the trace of nonlocal minimal graphs at points of stickiness is of class~$C^{1,γ}$. As a result, we show that boundary continuity implies boundary differentiability for nonlocal minimal graphs. |
| title | Regularity of the trace of nonlocal minimal graphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.20484 |