Andrea Braides

activity

20242026

collaborators

4 papers

math.AP2026

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 $H^{s} (I^c ◯_{ε})$ with $s \in (0, 1/2)$ defined on ``thin films'' $I^c ◯_{ε} = I ¨ \times (0, ε)$ in $R^{d}$ , a…

math.AP2026

A Bourgain-Brezis-Mironescu result for fractional thin films

Andrea Braides, Margherita Solci

We consider the limit of squared $H^{s}$ -Gagliardo seminorms on thin domains of the form $I^c ◯_{ε} = I ¨ \times (0, ε)$ in $R^{d}$ . When $ε$ is fixed, multi…

math.AP2025

Homogenization of quadratic convolution energies in periodically perforated domains

Andrea Braides, Andrey Piatnitski

We prove a homogenization theorem for quadratic convolution energies defined in perforated domains. The corresponding limit is a Dirichlet-type quadratic energy, whose integrand is…

math.AP2024

A closure theorem for $I^$ -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…

Asymptotic analysis of fractional Sobolev spaces on thin films in the low-integrability regime

A Bourgain-Brezis-Mironescu result for fractional thin films

Homogenization of quadratic convolution energies in periodically perforated domains

A closure theorem for I^-convergence and H-convergence with applications to non-periodic homogenization

A closure theorem for $I^$ -convergence and H-convergence with applications to non-periodic homogenization