Boundary regularity for a fully nonlinear free transmission problem
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912131030450176 |
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| author | Jesus, David Pimentel, Edgard A. Stolnicki, David |
| author_facet | Jesus, David Pimentel, Edgard A. Stolnicki, David |
| contents | We examine boundary regularity for a fully nonlinear free transmission problem. We argue using approximation methods, comparing the operators driving the problem with a limiting profile. Working natural conditions on the data of the problem, we produce regularity estimates in Sobolev and $C^{1,{\rm Log-Lip}}$-spaces. Our findings extend recent developments in the literature to the free boundary setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15335 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary regularity for a fully nonlinear free transmission problem Jesus, David Pimentel, Edgard A. Stolnicki, David Analysis of PDEs 35B65, 35R35, 35B30 We examine boundary regularity for a fully nonlinear free transmission problem. We argue using approximation methods, comparing the operators driving the problem with a limiting profile. Working natural conditions on the data of the problem, we produce regularity estimates in Sobolev and $C^{1,{\rm Log-Lip}}$-spaces. Our findings extend recent developments in the literature to the free boundary setting. |
| title | Boundary regularity for a fully nonlinear free transmission problem |
| topic | Analysis of PDEs 35B65, 35R35, 35B30 |
| url | https://arxiv.org/abs/2411.15335 |