Data di Pubblicazione:
2013
Citazione:
Regularity properties of nonlocal minimal surfaces via limiting arguments / L. Caffarelli, E. Valdinoci. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 248(2013), pp. 843-871.
Abstract:
We prove an improvement of flatness result for nonlocal minimal surfaces which is independent of the fractional parameter s when s → 1 -.As a consequence, we obtain that all the nonlocal minimal cones are flat and that all the nonlocal minimal surfaces are smooth when the dimension of the ambient space is less or equal than 7 and s is close to 1.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Asymptotics; Geometric measure theory; Regularity; Rigidity
Elenco autori:
L. Caffarelli, E. Valdinoci
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