Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Focardi, Matteo
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223044197