C. Antonucci, M. Gobbino, M. Migliorini, N. Picenni:
On the shape factor of interaction laws for a non-local approximation of  the Sobolev norm and the total variation
C. R. Math. Acad. Sci. Paris 2018

C. Antonucci, M. Gobbino, M. Migliorini, N. Picenni:
Optimal constants for a non-local approximation of Sobolev norms and  total variation
Anal. PDE 2020

C. Antonucci, M. Gobbino, N. Picenni:
On the gap between Gamma-limit and pointwise limit for a non-local  approximation of the total variation
Anal. PDE 2020

G. Bellettini, M. Freguglia, N. Picenni:
On a conjecture of De Giorgi about the phase-field approximation of the  Willmore functional
Arch. Rational Mech. Anal. Vol. 247, 2023

M. Gobbino, N. Picenni:
On the characterization of constant functions through nonlocal  functionals
Commun. Contemp. Math. 2023

M. Gobbino, N. Picenni:
A quantitative variational analysis of the staircasing phenomenon for a  second order regularization of the Perona-Malik functional
Trans. Amer. Math. Soc. 2023

M. Caselli, M. Freguglia, N. Picenni:
A nonlocal approximation of the area in codimension two
(Preprint) http://arxiv.org/abs/2406.13696 2024

M. Gobbino, N. Picenni:
Monotonicity properties of limits of solutions to the semi-discrete  scheme for the Perona-Malik equation
SIAM J. Math. Anal. Vol. 56, N. 2, p. 20342062, 2024

N. Picenni:
New estimates for a class of non-local approximations of the total  variation
J. Funct. Anal. Vol. 287, 2024

N. Picenni:
Staircasing effect for minimizers of the one-dimensional discrete  Perona-Malik functional
ESAIM: COCV Vol. 30, N. 44, 2024

M. Gobbino, N. Picenni:
Gamma-liminf estimate for a class of non-local approximations of Sobolev  and BV norms
J. Funct. Anal. (Accepted Paper) http://arxiv.org/abs/2311.05560 2025

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

M. Gobbino, N. Picenni:
Multi-scale analysis of minimizers for a second order regularization of  the Perona-Malik functional
Calc. Var. PDE Vol. 64, 2025

M. Gobbino, N. Picenni:
Symmetry breaking for local minimizers of a free discontinuity problem
(Preprint) http://arxiv.org/abs/2506.05270 2025