Continuity up to the boundary for minimizers of the one-phase Bernoulli problem
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.
Authors
- Xavier Fernández‐Real (ORCID: https://orcid.org/0000-0002-6775-315X)
- Florian Gruen
Institutions
- Kyoto University (JP)
- École Polytechnique Fédérale de Lausanne (CH)
Publication Details
- Journal
- Calculus of Variations and Partial Differential Equations
- Published
- 2025-05-27
- DOI
- https://doi.org/10.1007/s00526-025-03040-3
- Citations
- 1
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 1.50
Funders
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Office Fédéral de l'Education et de la Science
- Agencia Estatal de Investigación