22 citations · 39 across the 11 of their papers we have counts for
11 papers
Variational analysis of nonlocal Dirichlet problems in periodically perforated domains
Roberto Alicandro, Maria Stella Gelli, Chiara Leone
In this paper we consider a family of non local functionals of convolution-type depending on a small parameter and -converging to local functionals defined on So…
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…
-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions
Roberto Alicandro, Lucia De Luca, Mariapia Palombaro +1
We propose nonlinear semi-discrete and discrete models for the elastic energy induced by a finite systems of edge dislocations in two dimensions. Within the dilute regime, we analy…
Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice
Roberto Alicandro, Lucia De Luca, Giuliano Lazzaroni +2
We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest neighbor pai…
Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches
Roberto Alicandro, Andrea Braides, Marco Cicalese +2
We describe the emergence of topological singularities in periodic media within the Ginzburg-Landau model and the core-radius approach. The energy functionals of both models are de…
A variational theory of convolution-type functionals
Roberto Alicandro, Nadia Ansini, Andrea Braides +2
We provide a general treatment of perturbations of a class of functionals modeled on convolution energies with integrable kernel which approximate the -th norm of the gradient a…