Preprint

Inserted: 6 oct 2025
Last Updated: 7 oct 2025

Pages: 30
Year: 2025

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.

Keywords: Homogenization, $\Gamma$-convergence, Caccioppoli partitions, Fractional Gradient, fractional calculus, fractional variation

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• ACFS_Riesz_fractional_gradient_functionals