12-8 Ovidiu Savin and Enrico Valdinoci

Regularity of nonlocal minimal cones in dimension 2 (19K, LaTeX) Jan 17, 12

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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 $C^{1,lpha}$.

Files: 12-8.tex