Second-order asymptotics of the fractional perimeter as s → 1

oleh: Annalisa Cesaroni, Matteo Novaga

Format: Article
Diterbitkan: AIMS Press 2020-05-01

Deskripsi

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