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.

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

Lo Bianco S. G.;la Manna D. A.;Velichkov B.
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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/868072
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