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