Thin One-Phase almost minimizers
Analysis of PDEs
2018-12-10 v1
Abstract
We consider almost minimizers to the thin-one phase energy functional and we prove optimal regularity of the solution and partial regularity of the free boundary. We thus recover the theory for energy minimizers. Our methods are based on a noninfinitesimal notion of viscosity solutions.
Keywords
Cite
@article{arxiv.1812.03094,
title = {Thin One-Phase almost minimizers},
author = {Daniela De Silva and Ovidiu Savin},
journal= {arXiv preprint arXiv:1812.03094},
year = {2018}
}