33 citations · 182 across the 46 of their papers we have counts for
4 papers · 2 filters
Topological singularities arising from fractional-gradient energies
Roberto Alicandro, Andrea Braides, Margherita Solci +1
We prove that, on a planar regular domain, suitably scaled functionals of Ginzburg-Landau type, given by the sum of quadratic fractional Sobolev seminorms and a penalization term v…
Another look at elliptic homogenization
Andrea Braides, Giuseppe Cosma Brusca, Davide Donati
We consider the limit of sequences of normalized -Gagliardo seminorms with an oscillating coefficient as . In a seminal paper by Bourgain, Brezis and Mironescu (subs…
Ising systems, measures on the sphere, and zonoids
Andrea Braides, Antonin Chambolle
We give an interpretation of a class of discrete-to-continuum results for Ising systems using the theory of zonoids. We define the classes of rational zonotopes and zonoids, as tho…
Discrete approximation of nonlocal-gradient energies
Andrea Braides, Andrea Causin, Margherita Solci
We study a discrete approximation of functionals depending on nonlocal gradients. The discretized functionals are proved to be coercive in classical Sobolev spaces