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math.AP2025
Asymptotic analysis of fractional Sobolev spaces on thin films in the low-integrability regime
Andrea Braides, Andrea Pinamonti, Margherita Solci
We study the behaviour of fractional Sobolev spaces with defined on ``thin films'' in , and…
math.AP2025
A Bourgain-Brezis-Mironescu result for fractional thin films
Andrea Braides, Margherita Solci
We consider the limit of squared -Gagliardo seminorms on thin domains of the form in . When is fixed, multipl…