C. Benassi, M. Caselli:
Lipschitz continuity results for a class of obstacle problems
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 2020

M. Caselli, A. Gentile, R. Giova:
Regularity results for solutions to obstacle problems with Sobolev coeffcients
J. Differential Equations 2020

M. Caselli, M. Eleuteri, A. Passarelli di Napoli:
Regularity results for a class of obstacle problems with $p,q-$growth conditions
ESAIM Control Optim. Calc. Var. (Accepted Paper) http://arxiv.org/abs/1907.08527 2021

M. Caselli, L. Gennaioli:
Asymptotics as $s \to 0^+$ of the fractional perimeter on Riemannian manifolds
Ann. Scuola Norm. Sup. Pisa Cl. Sci. p. 39, 2023

M. Caselli, E. Florit-Simon, J. Serra:
Yau's conjecture for nonlocal minimal surfaces
J. Eur. Math. Soc. (Accepted Paper) http://arxiv.org/abs/2306.07100 2023

M. Caselli:
Geometric features of nonlocal minimal surfaces
(Lecture Notes) 2024

M. Caselli:
Stable $s$-minimal cones in $\mathbb{R}^2$ are flat for $s \sim 0$
Nonlinear Analysis p. 16, 2024

M. Caselli, M. Freguglia, N. Picenni:
A nonlocal approximation of the area in codimension two
Ann. Inst. H. Poincaré C Anal. Non Linéaire (Accepted Paper) http://arxiv.org/abs/2406.13696 2024

M. Caselli, E. Florit-Simon, J. Serra:
Fractional Sobolev spaces on Riemannian manifolds
Mathematische Annalen p. 42, 2024

M. Caselli:
Nonlocal phase transitions in codimension-one: diffuse approximation, stability and asymptotics
(Ph.D. Thesis) p. 203, 2025

M. Caselli, M. Freguglia, N. Picenni:
Coercivity and Gamma-convergence of the $p$-energy of sphere-valued  Sobolev maps
Comm. Partial Dierential Equations (Accepted Paper) http://arxiv.org/abs/2503.14142 2025

M. Caselli, N. Picenni:
Saddle solution to the complex Ginzburg-Landau system in three  dimensions
J. Differential Equations Vol. 467, 2026

M. Caselli, L. Gennaioli:
A new Duhamel-type principle with applications to geometric (in)equalities
(Submitted Paper) 2026

M. Caselli, M. Freguglia, N. Picenni:
Another look at a notion of fractional mass in codimension two
(Preprint) http://arxiv.org/abs/2607.00810 p. 52, 2026

M. Caselli:
Global regularity of critical SQG via a pointwise Leibniz commutator   formula
(Preprint) p. 9, 2026