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Journal Articles Nonlinear Analysis: Theory, Methods and Applications Year : 2020

On the Convergence Rate of some Nonlocal Energies

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Abstract

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

hal-02164431 , version 1 (25-06-2019)
hal-02164431 , version 2 (31-03-2020)

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Antonin Chambolle, Matteo Novaga, Valerio Pagliari. On the Convergence Rate of some Nonlocal Energies. Nonlinear Analysis: Theory, Methods and Applications, 2020, 200 (112016), 23pp. ⟨10.1016/j.na.2020.112016⟩. ⟨hal-02164431v2⟩
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