Improved regularity for minimizing capillary hypersurfaces
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915228420145152 |
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| author | Chodosh, Otis Edelen, Nick Li, Chao |
| author_facet | Chodosh, Otis Edelen, Nick Li, Chao |
| contents | We give improved estimates for the size of the singular set of minimizing capillary hypersurfaces: the singular set is always of codimension at least $4$, and this estimate improves if the capillary angle is close to $0$, $\fracπ{2}$, or $π$. For capillary angles that are close to $0$ or $π$, our analysis is based on a rigorous connection between the capillary problem and the one-phase Bernoulli problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08028 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Improved regularity for minimizing capillary hypersurfaces Chodosh, Otis Edelen, Nick Li, Chao Differential Geometry Analysis of PDEs We give improved estimates for the size of the singular set of minimizing capillary hypersurfaces: the singular set is always of codimension at least $4$, and this estimate improves if the capillary angle is close to $0$, $\fracπ{2}$, or $π$. For capillary angles that are close to $0$ or $π$, our analysis is based on a rigorous connection between the capillary problem and the one-phase Bernoulli problem. |
| title | Improved regularity for minimizing capillary hypersurfaces |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2401.08028 |