Regularity of nonlocal minimal cones in dimension 2

Ovidiu Savin, Enrico Valdinoci

Research output: Contribution to journalArticlepeer-review

72 Citations (Scopus)


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 languageEnglish
Pages (from-to)33-39
Number of pages7
JournalCalculus of Variations and Partial Differential Equations
Issue number1-2
Publication statusPublished - 1 Sep 2013
Externally publishedYes


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