Published Paper

Inserted: 27 may 2025
Last Updated: 16 apr 2026

Journal: Proceedings of the Royal Society of Edinburgh. Section A: Mathematics
Volume: 35
Number: 1
Year: 2026

Abstract:

We provide a first-order homogenization result for quadratic functionals. In particular, we identify the scaling of the energy and the explicit form of the limiting functional in terms of the first-order correctors. The main novelty of the paper is the use of the dual correspondence between quadratic functionals and PDEs, combined with a refinement of the classical Riemann-Lebesgue Lemma.