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math.AP2024
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 S…
math.AP2024
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…