Mathematics – Analysis of PDEs
Scientific paper
2012-02-05
Mathematics
Analysis of PDEs
Scientific paper
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.
Savin Ovidiu
Valdinoci Enrico
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