Calculus of Variations and Geometric Measure Theory
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A. Chambolle - M. Novaga - V. Pagliari

On the convergence rate of some nonlocal energies

created by novaga on 15 Jun 2019

[BibTeX]

Preprint

Inserted: 15 jun 2019
Last Updated: 15 jun 2019

Year: 2019

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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