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
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.
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