Preprint

Inserted: 18 oct 2026
Last Updated: 18 oct 2026

Year: 2026

Abstract:

We study the asymptotic behaviour of families of fractional energies normalized according to the Bourgain--Brezis--Mironescu formula and defined on functions satisfying a pinning condition on possibly aperiodic families of small obstacles. The result of the simultaneous limit depends crucially on the critical rescaling chosen for the obstacles.

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• BBM-Nonperhom.pdf