Homogenization effects on non-local functionals
偏微分方程分析
2026-05-19 v1
摘要
We study the homogenization of a class of non-local functionals featuring a rapidly oscillating periodic weight. By means of two-scale convergence, we explicitly evaluate the {\Gamma}-limit for constant target functions, revealing how the interplay between periodicity and non-locality forces the minimizing sequences to develop highly oscillating microstructures. As a natural consequence, we establish that the effective macroscopic functional fails to admit a standard double-integral representation.
引用
@article{arxiv.2605.16627,
title = {Homogenization effects on non-local functionals},
author = {Enrico Micalizio},
journal= {arXiv preprint arXiv:2605.16627},
year = {2026}
}