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arXiv:2001.11415 [math.AP]AbstractReferencesReviewsResources

Second-order asymptotics of the fractional perimeter as $s\to 1$

Annalisa Cesaroni, Matteo Novaga

Published 2020-01-30Version 1

In this note we provide a second-order asymptotic expansion of the fractional perimeter Per$_s(E)$, as $s\to 1^-$, in terms of the local perimeter and of a higher order nonlocal functional.

Comments: 14 pp
Categories: math.AP
Subjects: 49Q15, 35R11, 49J45
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