Boundary regularity for anisotropic minimal Lipschitz graphs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929327693627392 |
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| author | De Rosa, Antonio Resende, Reinaldo |
| author_facet | De Rosa, Antonio Resende, Reinaldo |
| contents | We prove that $m$-dimensional Lipschitz graphs in any codimension with $C^{1,α}$ boundary and anisotropic mean curvature bounded in $L^p$, $p > m$, are regular at every boundary point with density bounded above by $1/2 +σ$, provided the anisotropic energy satisfies the uniform scalar atomic condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11258 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Boundary regularity for anisotropic minimal Lipschitz graphs De Rosa, Antonio Resende, Reinaldo Analysis of PDEs Differential Geometry 49Q05, 49Q20, 53A10, 35D30 We prove that $m$-dimensional Lipschitz graphs in any codimension with $C^{1,α}$ boundary and anisotropic mean curvature bounded in $L^p$, $p > m$, are regular at every boundary point with density bounded above by $1/2 +σ$, provided the anisotropic energy satisfies the uniform scalar atomic condition. |
| title | Boundary regularity for anisotropic minimal Lipschitz graphs |
| topic | Analysis of PDEs Differential Geometry 49Q05, 49Q20, 53A10, 35D30 |
| url | https://arxiv.org/abs/2305.11258 |