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Regularity properties of nonlocal minimal surfaces via limiting arguments
Authors:Luis Caffarelli  Enrico Valdinoci
Affiliation:1. University of Texas at Austin, Department of Mathematics, 1 University Station C1200, Austin, TX 78712-0257, USA;2. Weierstraß Institut für Angewandte Analysis und Stochastik, Hausvogteiplatz 11A, D-10117 Berlin, Germany
Abstract:
We prove an improvement of flatness result for nonlocal minimal surfaces which is independent of the fractional parameter s   when s→1s1.
Keywords:Asymptotics   Regularity   Rigidity   Geometric measure theory
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