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arXiv · 2610.25515

The Bourgain, Brezis, Mironescu localization for deterministic obstacle problems

Matteo Focardi
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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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Matteo Focardi. 2026-10-18. The Bourgain, Brezis, Mironescu localization for deterministic obstacle problems. https://arxiv.org/abs/2610.25515

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