Continuity up to the boundary for minimizers of the one-phase Bernoulli problem
| Autor: | Fernández-Real, Xavier, Gruen, Florian |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 H\"older-continuous boundary data. As an application, we use them to extend recent generic uniqueness and regularity results to families of continuous functions. Comment: 16 pages, 1 figure |
| Databáze: | arXiv |
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