Continuity up to the boundary for minimizers of the one-phase Bernoulli problem
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913472075268096 |
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| author | Fernández-Real, Xavier Gruen, Florian |
| author_facet | Fernández-Real, Xavier Gruen, Florian |
| contents | We prove new boundary regularity results for minimizers to the one-phase Alt-Caffarelli functional (also known as Bernoulli free boundary problem) in the case of continuous and Hölder-continuous boundary data. As an application, we use them to extend recent generic uniqueness and regularity results to families of continuous functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10019 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Continuity up to the boundary for minimizers of the one-phase Bernoulli problem Fernández-Real, Xavier Gruen, Florian Analysis of PDEs 35R35, 35B65, 35N25, 35A02 We prove new boundary regularity results for minimizers to the one-phase Alt-Caffarelli functional (also known as Bernoulli free boundary problem) in the case of continuous and Hölder-continuous boundary data. As an application, we use them to extend recent generic uniqueness and regularity results to families of continuous functions. |
| title | Continuity up to the boundary for minimizers of the one-phase Bernoulli problem |
| topic | Analysis of PDEs 35R35, 35B65, 35N25, 35A02 |
| url | https://arxiv.org/abs/2408.10019 |