Removable singularities for nonlocal minimal graphs
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912863391580160 |
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| author | Kim, Minhyun |
| author_facet | Kim, Minhyun |
| contents | We prove the removable singularity theorem for nonlocal minimal graphs. Specifically, we show that any nonlocal minimal graph in $Ω\setminus K$, where $Ω\subset \mathbb{R}^n$ is an open set and $K \subset Ω$ is a compact set of $(s, 1)$-capacity zero, is indeed a nonlocal minimal graph in all of $Ω$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14299 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Removable singularities for nonlocal minimal graphs Kim, Minhyun Differential Geometry Analysis of PDEs 53A10, 49Q05, 35J60 We prove the removable singularity theorem for nonlocal minimal graphs. Specifically, we show that any nonlocal minimal graph in $Ω\setminus K$, where $Ω\subset \mathbb{R}^n$ is an open set and $K \subset Ω$ is a compact set of $(s, 1)$-capacity zero, is indeed a nonlocal minimal graph in all of $Ω$. |
| title | Removable singularities for nonlocal minimal graphs |
| topic | Differential Geometry Analysis of PDEs 53A10, 49Q05, 35J60 |
| url | https://arxiv.org/abs/2501.14299 |