Published Paper

Inserted: 31 mar 2020
Last Updated: 2 jan 2023

Journal: Journal de l'École polytechnique - Mathématiques
Year: 2020

Abstract:

We study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an existence and a regularity result for minimizers of the associated variational problem. Finally, in the appendix, we give an example of a class of Steiner symmetric minimizers.

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