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math.AP2023★ 2 cited
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…
math.AP2023
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…