Regularity of the trace of nonlocal minimal graphs

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Serena Dipierro, Ovidiu Savin, Enrico Valdinoci
DOI: 10.48550/arxiv.2601.20484
Cited by: 0

Abstract

We prove that the trace of nonlocal minimal graphs at points of stickiness is of class~$C^{1,γ}$. As a result, we show that boundary continuity implies boundary differentiability for nonlocal minimal graphs.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Geometric Analysis and Curvature Flows Advanced Harmonic Analysis Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
28 January 2026
Document type
Preprint