15 citations · 46 across the 10 of their papers we have counts for
11 papers
On the existence of extensions for manifold-valued Sobolev maps on perforated domains
Chiara Gavioli, Leon Happ, Valerio Pagliari
Motivated by manifold-constrained homogenization problems, we construct suitable extensions for Sobolev functions defined on a perforated domain and taking values in a compact, con…
Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula
Elisa Davoli, Giovanni Di Fratta, Valerio Pagliari
Following the seminal paper by Bourgain, Brezis and Mironescu, we focus on the asymptotic behavior of some nonlocal functionals that, for each , are defined…
Homogenization of high-contrast media in finite-strain elastoplasticity
Elisa Davoli, Chiara Gavioli, Valerio Pagliari
This work is devoted to the analysis of the interplay between internal variables and high-contrast microstructure in inelastic solids. As a concrete case-study, by means of variati…
A homogenization result in finite plasticity
Elisa Davoli, Chiara Gavioli, Valerio Pagliari
We carry out a variational study for integral functionals that model the stored energy of a heterogeneous material governed by finite-strain elastoplasticity with hardening. Assumi…
Bilevel training schemes in imaging for total-variation-type functionals with convex integrands
Valerio Pagliari, Kostas Papafitsoros, Bogdan Raiţă +1
In the context of image processing, given a -th order, homogeneous and linear differential operator with constant coefficients, we study a class of variational problems whose re…
Homogenization of high-contrast composites under differential constraints
Elisa Davoli, Martin Kružík, Valerio Pagliari
We derive, by means of variational techniques, a limiting description for a class of integral functionals under linear differential constraints. The functionals are designed to enc…
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…
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…
Halfspaces minimise nonlocal perimeter: a proof via calibrations
Valerio Pagliari
We consider a nonlocal functional that may be regarded as a nonlocal version of the total variation. More precisely, for any measurable function $u\colon \mathbb{R}^d \to \ma…
Convergence of nonlocal geometric flows to anisotropic mean curvature motion
Annalisa Cesaroni, Valerio Pagliari
We consider nonlocal curvature functionals associated with positive interaction kernels, and we show that local anisotropic mean curvature functionals can be retrieved in a blow-up…
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…