Removable singularities for nonlocal minimal graphs
Differential Geometry
2026-02-03 v2 Analysis of PDEs
Abstract
We prove the removable singularity theorem for nonlocal minimal graphs. Specifically, we show that any nonlocal minimal graph in , where is an open set and is a compact set of -capacity zero, is indeed a nonlocal minimal graph in all of .
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Cite
@article{arxiv.2501.14299,
title = {Removable singularities for nonlocal minimal graphs},
author = {Minhyun Kim},
journal= {arXiv preprint arXiv:2501.14299},
year = {2026}
}
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16 pages