Journal
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
Volume 729, Issue -, Pages 263-273Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/crelle-2015-0006
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Funding
- NSF [DMS-1262411]
- ERC Grant [277749]
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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 [6] stating that the validity of Bernstein's theorem in dimension n + 1 is a consequence of the nonexistence of n-dimensional singular minimal cones in R-n.
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