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Regularity and Bernstein-type results for nonlocal minimal surfaces
2013, Figalli, Alessio, Valdinoci, Enrico
We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend to the nonlocal setting a famous theorem of De Giorgi [5] stating that the validity of Bernsteins theorem in dimension n + 1 is a consequence of the nonexistence of n-dimensional singular minimal cones in IRn.