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math.AP2020
Asymptotic behaviour of rescaled nonlocal functionals and evolutions
Valerio Pagliari
Taking up a variational viewpoint, we present some nonlocal-to-local asymptotic results for various kinds of integral functionals. The content of the thesis comprises the contribut…
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.AP2018
On the asymptotic behaviour of nonlocal perimeters
Judith Berendsen, Valerio Pagliari
We study a class of integral functionals known as nonlocal perimeters, which, intuitively, express a weighted interaction between a set and its complement. The weight is provided b…