A. Carbotti, S. Dipierro, E. Valdinoci:
Local density of Caputo-stationary functions of any order
Complex Variables and Elliptic Equations p. 24, 2018

A. Carbotti, S. Dipierro, E. Valdinoci:
Local density of solutions of time and space fractional equations
(preprint) http://arxiv.org/abs/1810.08448 2018

A. Carbotti, S. Dipierro, E. Valdinoci:
Local density of Solutions to Fractional Equations
De Gruyter studies in Mathematics (Lecture Notes) http://arxiv.org/abs/2210.00427 Vol. 74, p. 129, 2019

A. Carbotti:
Approximation properties of solutions to fractional equations, Riemann-Liouville fractional Sobolev spaces and a variational problem in Carnot Groups.
(Ph.D. Thesis) p. 138, 2020

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Gamma-convergence of fractional Gaussian perimeter
Advances in Calculus of Variations p. 30, 2021

A. Carbotti, G. E. Comi:
A note on Riemann-Liouville fractional Sobolev spaces
Communications on Pure and Applied Analysis 2021

A. Carbotti, S. Don, D. Pallara, A. Pinamonti:
Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups
ESAIM: Control, Optimization and Calculus of Variations p. 30, 2021

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Asymptotics of the $s$-fractional Gaussian perimeter as $s\to 0^+$
Fractional Calculus and Applied Analysis p. 13, 2022

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Stability of the Gaussian Faber-Krahn inequality
Annali di Matematica Pura e Applicata Vol. 203, p. 21852198, 2024

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
A quantitative dimension free isoperimetric inequality for the Fractional Gaussian Perimeter
Communications in Analysis and Geometry Vol. 32, N. 2, p. 27, 2024

M. Caponi, A. Carbotti, F. Sapio:
The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture
Journal of Evolution Equations p. 24, 2024

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Local Regularity of very weak $s$-harmonic functions via fractional difference quotients
Rendiconti Lincei. Matematica e Applicazioni Vol. 35, p. 365-395, 2024

M. Caponi, A. Carbotti, A. Maione:
$H$-compactness for nonlocal linear operators in fractional divergence form
Calculus of Variations and Partial Differential Equations Vol. 64, N. 9, p. 36, 2025

A. Carbotti, S. Cito, D. Pallara:
On the optimization of the Robin eigenvalues in some classes of polygons
(Submitted Paper) http://arxiv.org/abs/2508.03502 p. 23, 2025

A. Carbotti:
The Pólya-Szegö principle in the fractional setting: a glimpse on nonlocal functional inequalities
To appear as bookchapter in "New Frontiers in Homogenization and Fractional Calculus" (Accepted Paper) http://arxiv.org/abs/2509.12023 p. 24, 2026

A. Carbotti, S. Cito, D. A. La Manna, A. Pratelli, G. Stefani:
On the approximation of finite perimeter sets
(Submitted Paper) http://arxiv.org/abs/2603.18984 2026

A. Carbotti:
A Brunn-Minkowski inequality for Schrödinger operators with Kato class potentials
(Submitted Paper) http://arxiv.org/abs/2603.29989 p. 15, 2026

G. C. Brusca, M. Caponi, A. Carbotti, A. Maione, F. Paronetto:
$H$-convergence and $\Gamma$-convergence in the Riesz fractional setting: the nonlinear case
(Preprint) http://arxiv.org/abs/2607.06725 p. 34, 2026