Calculus of Variations and Geometric Measure Theory
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G. Gravina - G. Leoni

On the existence and regularity of non-flat profiles for a Bernoulli free boundary problem

created by leoni on 11 Sep 2018



Inserted: 11 sep 2018

Year: 2018

ArXiv: 1805.00601 PDF


In this paper we consider a large class of Bernoulli-type free boundary problems with mixed periodic-Dirichlet boundary conditions. We show that solutions with non-flat profile can be found variationally as global minimizers of the classical Alt-Caffarelli energy functional.

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