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arXiv · 2003.14139

A two-phase problem with Robin conditions on the free boundary

Serena Guarino Lo Bianco·Domenico Angelo La Manna·Bozhidar Velichkov
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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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Serena Guarino Lo Bianco, Domenico Angelo La Manna, Bozhidar Velichkov. 2020-03-31. A two-phase problem with Robin conditions on the free boundary. https://arxiv.org/abs/2003.14139

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