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arXiv · 2001.11415

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

Annalisa Cesaroni·Matteo Novaga
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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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Annalisa Cesaroni, Matteo Novaga. 2020-01-30. Second-order asymptotics of the fractional perimeter as $s\to 1$. https://arxiv.org/abs/2001.11415

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