3 citations · 8 across the 10 of their papers we have counts for
10 papers
Emergence of a convex strange term via homogenization of non-local energies at the critical exponent
Giuseppe Cosma Brusca, Giuliana Fusco
We derive the -limit of convolution-type and discrete energies subject to Dirichlet boundary conditions on periodically perforated domains at the critical exponent. We assume th…
-convergence and -convergence in the Riesz fractional setting: the nonlinear case
Giuseppe C. Brusca, Maicol Caponi, Alessandro Carbotti +2
This paper concerns the -convergence of nonlinear nonlocal monotone operators defined through the Riesz fractional gradient and divergence. We show that the -convergence in t…
-convergence of convolution-type functionals for free discontinuity problems
Giuseppe Cosma Brusca, Davide Donati, Sergio Scalabrino +2
We prove compactness with respect to -convergence for a general class of non-local energies modelled after the ones considered in [Gobbino, CPAM (1998)]. We give an integral rep…
Multiscale homogenization of non-local energies of convolution-type
Giuseppe Cosma Brusca
We analyze a family of non-local integral functionals of convolution-type depending on two small positive parameters : the first rules the length-scale of the non-lo…
A note on non-local Sobolev spaces and non-local perimeters
Konstantinos Bessas, Giuseppe Cosma Brusca
We investigate the space of non-local Sobolev functions associated with an integral kernel. We prove an extension result, Sobolev and Poincaré inequalities and an isoperimetric ine…
Singular perturbations models in phase transitions for anisotropic higher-order materials
Giuseppe Cosma Brusca, Davide Donati, Chiara Trifone
We discuss a model for phase transitions in which a double-well potential is singularly perturbed by possibly several terms involving different, arbitrarily high orders of derivati…
Higher-order singular perturbation models for phase transitions
Giuseppe Cosma Brusca, Davide Donati, Margherita Solci
Variational models of phase transitions take into account double-well energies singularly perturbed by gradient terms, such as the Cahn-Hilliard free energy. The derivation by -…
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…
Homogenization in perforated domains at the critical scale
Giuseppe Cosma Brusca
We describe the asymptotic behaviour of the minimal heterogeneous -capacity of a small set, which we assume to be a ball for simplicity, in a fixed bounded open set $Ω\subseteq…
Asymptotic behaviour of the capacity in two-dimensional heterogeneous media
Andrea Braides, Giuseppe Cosma Brusca
We describe the asymptotic behaviour of the minimal inhomogeneous two-capacity of small sets in the plane with respect to a fixed open set . This problem is governed by two smal…