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.FA2025

Fractional Sobolev spaces via interpolation, and applications to mixed local-nonlocal operators

Alberto Maione

In this note, we present a well-known connection between the Sobolev-Slobodeckij spaces, also known as Fractional Sobolev spaces, and interpolation theory. We show how Sobolev spac…

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…

math.AP2025

Variational convergences under moving anisotropies

Alberto Maione, Fabio Paronetto, Simone Verzellesi

We study the asymptotic behaviour of sequences of integral functionals depending on moving anisotropies. We introduce and describe the relevant functional setting, establishing uni…