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.
|Number of pages||7|
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - 1 Sep 2013|