Regularity of the trace of nonlocal minimal graphs
Analysis of PDEs
2026-01-29 v1
Abstract
We prove that the trace of nonlocal minimal graphs at points of stickiness is of class~. As a result, we show that boundary continuity implies boundary differentiability for nonlocal minimal graphs.
Keywords
Cite
@article{arxiv.2601.20484,
title = {Regularity of the trace of nonlocal minimal graphs},
author = {Serena Dipierro and Ovidiu Savin and Enrico Valdinoci},
journal= {arXiv preprint arXiv:2601.20484},
year = {2026}
}