On the existence of non-flat profiles for a Bernoulli free boundary problem
Analysis of PDEs
2019-08-09 v2
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.
Keywords
Cite
@article{arxiv.1805.00601,
title = {On the existence of non-flat profiles for a Bernoulli free boundary problem},
author = {Giovanni Gravina and Giovanni Leoni},
journal= {arXiv preprint arXiv:1805.00601},
year = {2019}
}
Comments
31 pages