33 citations · 182 across the 46 of their papers we have counts for
53 papers
Rearrangements and the Maz'ya-Shaposhnikova limit: -convergence for truncated interactions
Andrea Braides, Anneliese Defranceschi, Enrico Vitali
We give a proof of the -liminf inequality for the Maz'ya--Shaposhni\-kova limit, as , of the fractional Sobolev seminorm, based on spherical rearrangements. The key poi…
Asymptotic analysis of fractional Sobolev spaces on thin films in the low-integrability regime
Andrea Braides, Andrea Pinamonti, Margherita Solci
We study the behaviour of fractional Sobolev spaces with defined on ``thin films'' in , and…
A Bourgain-Brezis-Mironescu result for fractional thin films
Andrea Braides, Margherita Solci
We consider the limit of squared -Gagliardo seminorms on thin domains of the form in . When is fixed, multipl…
Homogenization of non-local energies on disconnected sets
Andrea Braides, Sergio Scalabrino, Chiara Trifone
We consider the problem of the homogenization of non-local quadratic energies defined on -periodic disconnected sets defined by a double integral, depending on a kernel concentr…
A closure theorem for -convergence and H-convergence with applications to non-periodic homogenization
Andrea Braides, Gianni Dal Maso, Claude Le Bris
In this work we examine the stability of some classes of integrals, and in particular with respect to homogenization. The prototypical case is the homogenization of quadratic energ…
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…