Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits
Analysis of PDEs
2025-10-07 v1
Abstract
This paper addresses the asymptotics of functionals with linear growth depending on the Riesz -fractional gradient on piecewise constant functions. We consider a general class of varying energy densities and, as , we characterize their local limiting functionals in the sense of -convergence.
Keywords
Cite
@article{arxiv.2510.04881,
title = {Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits},
author = {Stefano Almi and Maicol Caponi and Manuel Friedrich and Francesco Solombrino},
journal= {arXiv preprint arXiv:2510.04881},
year = {2025}
}