Nonlocal minimal surfaces: interior regularity, quantitative estimates and boundary stickiness
Analysis of PDEs
2016-12-07 v2
Abstract
We consider surfaces which minimize a nonlocal perimeter functional and we discuss their interior regularity and rigidity properties, in a quantitative and qualitative way, and their (perhaps rather surprising) boundary behavior. We present at least a sketch of the proofs of these results, in a way that aims to be as elementary and self contained as possible.
Keywords
Cite
@article{arxiv.1607.06872,
title = {Nonlocal minimal surfaces: interior regularity, quantitative estimates and boundary stickiness},
author = {Serena Dipierro and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1607.06872},
year = {2016}
}