Calculus of Variations and Geometric Measure Theory
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A. Cesaroni - M. Novaga

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

created by cesaroni on 30 Jan 2020
modified on 31 Jan 2020

[BibTeX]

Submitted Paper

Inserted: 30 jan 2020
Last Updated: 31 jan 2020

Year: 2020

ArXiv: 2001.11415 PDF

Abstract:

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.


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