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arXiv · 2510.04881

Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits

Stefano Almi·Maicol Caponi·Manuel Friedrich·Francesco Solombrino
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Abstract

This paper addresses the asymptotics of functionals with linear growth depending on the Riesz $s$-fractional gradient on piecewise constant functions. We consider a general class of varying energy densities and, as $s\to 1$, we characterize their local limiting functionals in the sense of $\Gamma$-convergence.

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Stefano Almi, Maicol Caponi, Manuel Friedrich, Francesco Solombrino. 2025-10-06. Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits. https://arxiv.org/abs/2510.04881

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