# On the convergence rate of some nonlocal energies

created by novaga on 15 Jun 2019
modified on 04 Aug 2020

[BibTeX]

Published Paper

Inserted: 15 jun 2019
Last Updated: 4 aug 2020

Journal: Nonlinear Analysis
Volume: 200
Pages: 112016
Year: 2020
Doi: https://doi.org/10.1016/j.na.2020.112016

ArXiv: 1907.06030 PDF

Abstract:

We study the rate of convergence of some nonlocal functionals recently considered by Bourgain, Brezis and Mironescu. In particular, we establish the $\Gamma$-convergence of the corresponding rate functionals, suitably rescaled, to a limit functional of second order.