works on
fractional calculus 1gamma-convergence 1h-convergence 1monotone operators 1nonlocal operators 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.AP2026

-convergence and -convergence in the Riesz fractional setting: the nonlinear case

Giuseppe C. Brusca, Maicol Caponi, Alessandro Carbotti +2

The paper studies H‑convergence and Γ‑convergence for nonlinear nonlocal monotone operators defined via the Riesz fractional gradient, proving they are equivalent to the correspond…

math.AP2025

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

Stefano Almi, Maicol Caponi, Manuel Friedrich +1

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 o…

math.AP2025

A Survey on the Div-Curl Lemma and Some Extensions to Fractional Sobolev Spaces

Maicol Caponi

This survey is a chapter of a forthcoming book. This chapter recalls the classical formulation of the Div-Curl lemma along with its proof, and presents some possible generalization…

math.AP2025

-compactness for nonlocal linear operators in fractional divergence form

Maicol Caponi, Alessandro Carbotti, Alberto Maione

We study the -convergence of nonlocal linear operators in fractional divergence form, where the oscillations of the matrices are prescribed outside the reference domain. Our com…