Regularity of nonlocal minimal cones in dimension 2

Ovidiu Savin; Enrico Valdinoci

doi:10.1007/s00526-012-0539-7

Regularity of nonlocal minimal cones in dimension 2

Ovidiu Savin, Enrico Valdinoci

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81 Citations (Scopus)

Abstract

We show that the only nonlocal s-minimal cones in ℝ² are the trivial ones for all S ∈ (0, 1). As a consequence we obtain that the singular set of a nonlocal minimal surface has at most n - 3 Hausdorff dimension.

Original language	English
Pages (from-to)	33-39
Number of pages	7
Journal	Calculus of Variations and Partial Differential Equations
Volume	48
Issue number	1-2
DOIs	https://doi.org/10.1007/s00526-012-0539-7
Publication status	Published - 1 Sept 2013
Externally published	Yes

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title = "Regularity of nonlocal minimal cones in dimension 2",

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Regularity of nonlocal minimal cones in dimension 2

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