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math.AP2026
A Homogenized Maz'ya--Shaposhnikova formula
Andrea Braides, Marco Picerni, Alec Jacopo Almo Schiavoni Piazza
We study the asymptotic behaviour of fractional Gagliardo-type energies with a periodic, bounded and bounded away from zero coefficient depending on both variables, in the joint li…
math.AP2026
Homogenization and averaging in the Bourgain-Brezis-Mironescu limit
Andrea Braides, Stefano Mannella, Alec Jacopo Almo Schiavoni Piazza
We study the simultaneous asymptotic behaviour of homogenization and the Bourgain--Brezis--Mironescu limit for quadratic fractional energies with periodic coefficients. The functio…