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arXiv · 2601.20484

Regularity of the trace of nonlocal minimal graphs

Serena Dipierro·Ovidiu Savin·Enrico Valdinoci
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Abstract

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

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Serena Dipierro, Ovidiu Savin, Enrico Valdinoci. 2026-01-28. Regularity of the trace of nonlocal minimal graphs. https://arxiv.org/abs/2601.20484

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