Calculus of Variations and Geometric Measure Theory
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S. Guarino Lo Bianco - D. A. La Manna - B. Velichkov

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

created by guarinolo on 31 Mar 2020
modified on 02 Apr 2020

[BibTeX]

Submitted Paper

Inserted: 31 mar 2020
Last Updated: 2 apr 2020

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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