Continuity up to the boundary for minimizers of the one-phase Bernoulli problem

Fernández‐Real, XavierGruen, Florian2025-06-032025-06-032025-06-022025-05-2710.1007/s00526-025-03040-3https://infoscience.epfl.ch/handle/20.500.14299/250969We 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.enMathematics Subject Classification 35R3535B6535N2535A02Continuity up to the boundary for minimizers of the one-phase Bernoulli problemtext::journal::journal article::research article