Research

Published papers

1. L. Lombardini and F. Rossi, Obstructions to extension of Wasserstein distances for variable masses.

Proc. Amer. Math. Soc. 150, (2022), 4879-4890. Available at: Link 

2. C. Bucur, S. Dipierro, L. Lombardini, J.M. Mazon and E. Valdinoci, (s,p)-Harmonic approximation of functions of least W^{s,1}-seminorm.

International Mathematics Research Notices, Volume 2023, Issue 2, January 2023, Pages 1173-1235. Published in 2021. Available at: Link 

3. M. Cozzi and L. Lombardini, On nonlocal minimal graphs.

Calc. Var. Partial Differential Equations 60 (2021), no. 4, Paper No. 136, 72 pp. Available at: Link 

4. C. Bucur, S. Dipierro, L. Lombardini and E. Valdinoci, Minimisers of a fractional seminorm and nonlocal minimal surfaces.

Interfaces Free Bound. 22 (2020), no. 4, 465-504. Available at: Link 

5. M. Cozzi, A. Farina and L. Lombardini, Bernstein-Moser-type results for nonlocal minimal graphs.

Comm. Anal. Geom. 29 (2021), no. 4, 761-777. Available at: Link 

6. C. Bucur, L. Lombardini and E. Valdinoci, Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter.

Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 3, 655-703. Available at: Link 

7. L. Lombardini, Approximation of sets of finite fractional perimeter by smooth sets and comparison of local and global s-minimal surfaces.

Interfaces Free Bound. 20 (2018), no. 2, 261-296. Old, not updated version: Link 

8. L. Lombardini, Fractional perimeters from a fractal perspective.

Adv. Nonlinear Stud. 19 (2019), no. 1, 165-196. Old, not updated version: Link 

9. S. Dipierro, L. Lombardini, P. Miraglio and E. Valdinoci, The Phillip Island penguin parade (a mathematical treatment).

ANZIAM J. 60 (2018), no. 1, 27-54. Old, not updated version: Link 

Submitted papers

1. E. Davoli, C. Gavioli and L. Lombardini, Existence results for Cahn-Hilliard type systems driven by nonlocal integrodifferential operators with singular kernels

Available at: Link