M. Caselli, N. Picenni. Saddle solution to the complex Ginzburg-Landau system in three dimensions. arXiv:2509.13935 (2025)
M. Gobbino, N. Picenni. Symmetry breaking for local minimizers of a free discontinuity problem. arXiv:2506.05270 (2025)
M. Caselli, M. Freguglia, N. Picenni. Coercivity and Gamma-convergence of the p-energy of sphere-valued Sobolev maps. arXiv:2503.14142 (2025)
M. Caselli, M. Freguglia, N. Picenni. A nonlocal approximation of the area in codimension two. arXiv:2406.13696 (2024)
M. Gobbino, N. Picenni. Gamma-liminf estimate for a class of non-local approximations of Sobolev and BV norms. J. Funct. Anal. 289 (2025), no. 9, Paper No. 111106. DOI arXiv
M. Gobbino, N. Picenni. Multi-scale analysis of minimizers for a second order regularization of the Perona-Malik functional. Calc. Var. Partial Differential Equations 64 (2025), Paper No. 156. DOI arXiv
N. Picenni. Staircasing effect for minimizers of the one-dimensional discrete Perona-Malik functional. ESAIM Control Optim. Calc. Var. 30 (2024), Paper No. 44. DOI arXiv
N. Picenni. New estimates for a class of non-local approximations of the total variation. J. Funct. Anal. 287 (2024), no. 1, Paper No. 110419. DOI arXiv
M. Gobbino, N. Picenni. Monotonicity properties of limits of solutions to the semi-discrete scheme for a class of Perona-Malik type equations. SIAM J. Math. Anal. 56 (2024), no. 2, 2034-2062. DOI arXiv
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. 376 (2023), no. 8, pp. 5307-5375. DOI arXiv
G. Bellettini, M. Freguglia, N. Picenni. On a conjecture of De Giorgi about the phase-field approximation of the Willmore functional. Arch. Ration. Mech. Anal. 247 (2023), no.3, Paper No. 39. DOI arXiv
M. Gobbino, N. Picenni. On the characterization of constant functions through nonlocal functionals. Commun. Contemp. Math. 25 (2023), no. 9, Paper No. 2250038. DOI arXiv
C. Antonucci, M. Gobbino, N. Picenni. On the gap between the Gamma-limit and the pointwise limit for a nonlocal approximation of the total variation. Anal. PDE 13 (2020), no. 3, 627–649. DOI arXiv
C. Antonucci, M. Gobbino, M. Migliorini, N. Picenni. Optimal constants for a nonlocal approximation of Sobolev norms and total variation. Anal. PDE 13 (2020), no. 2, 595–625. DOI arXiv
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 356 (2018), no. 8, 859–864. DOI arXiv
The Perona-Malik problem: singular perturbation and semi-discrete approximation, PhD thesis (2023). link
Mean curvature motion as a curve of maximal slope - The radial case, Master thesis (2019). link
Nonlocal characterizations of Sobolev spaces and functions of bounded variation in dimension one, Bachelor thesis (2017). link