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.AP2026

A Brunn-Minkowski inequality for Schrödinger operators with Kato class potentials

Alessandro Carbotti

In this paper we prove a Brunn-Minkowski inequality for the first Dirichlet eigenvalue of a Schrödinger type operator , where is…

math.AP2025

The Polya-Szego principle in the fractional setting: a glimpse on nonlocal functional inequalities

Alessandro Carbotti

In this survey we present the fractional Polya Szego principle and its main consequences in the study of nonlocal functional inequalities. In particular, we show how symmetrization…

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…