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

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.

arXiv comment14 pp

References in corpus (1)

• Gamma-convergence of nonlocal perimeter functionals