Regularity of nonlocal minimal cones in dimension 2
classification
🧮 math.AP
keywords
minimalnonlocalconesdimensionconsequencehausdorffobtainones
read the original 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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