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Publication 18-CNA-011

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

Giovanni Gravina
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA, USA
ggravina@andrew.cmu.edu

Giovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
giovanni@andrew.cmu.edu

Abstract: 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.

Get the paper in its entirety as  18-CNA-011.pdf


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