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math.AP2019
On the convergence rate of some nonlocal energies
Antonin Chambolle, Matteo Novaga, Valerio Pagliari
We study the rate of convergence of some nonlocal functionals recently considered by Bourgain, Brezis and Mironescu. In particular we establish the -convergence of the correspon…
math.OC2019★ 13 cited
Halfspaces minimise nonlocal perimeter: a proof via calibrations
Valerio Pagliari
We consider a nonlocal functional that may be regarded as a nonlocal version of the total variation. More precisely, for any measurable function $u\colon \mathbb{R}^d \to \ma…