12-8 Ovidiu Savin and Enrico Valdinoci
Regularity of nonlocal minimal cones in dimension 2 (19K, LaTeX) Jan 17, 12
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Abstract. For any $s\in(0,1)$, we consider sets of minimal $s$-perimeter in $\R^2$. We prove that there are no $s$-minimal cones other than the half-planes and that all the $s$-minimal sets are locally $C^{1,lpha}$.

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