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arXiv · 1202.0973

Regularity of nonlocal minimal cones in dimension 2

Ovidiu Savin·Enrico Valdinoci
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Abstract

We show that the only nonlocal $s$-minimal cones in $\R^2$ are the trivial ones for all $s \in (0,1)$. As a consequence we obtain that the singular set of a nonlocal minimal surface has at most $n-3$ Hausdorff dimension.

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Ovidiu Savin, Enrico Valdinoci. 2012-02-05. Regularity of nonlocal minimal cones in dimension 2. https://arxiv.org/abs/1202.0973

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