A strong maximum principle for minimizers of the one-phase Bernoulli problem
Analysis of PDEs
2022-05-03 v1 Differential Geometry
Abstract
We prove a strong maximum principle for minimizers of the one-phase Alt-Caffarelli functional. We use this to construct a Hardt-Simon-type foliation associated to any 1-homogenous global minimizer.
Keywords
Cite
@article{arxiv.2205.00401,
title = {A strong maximum principle for minimizers of the one-phase Bernoulli problem},
author = {Nick Edelen and Luca Spolaor and Bozhidar Velichkov},
journal= {arXiv preprint arXiv:2205.00401},
year = {2022}
}