L. Ambrosio, M. Gobbino, D. Pallara: Approximation problems for curvature varifolds J. Geom. Anal. Vol. 8, p. 1-19, 1998 M. Gobbino: Entire solutions of the one-dimensional Perona-Malik equation Comm. Partial Differential Equations (Accepted Paper) 2003 M. Ghisi, M. Gobbino: The monopolist's problem: existence, relaxation and approximation Calc. Var. Partial Differential Equations Vol. 24, N. 1, p. 111-129, 2005 M. Ghisi, M. Gobbino: Gradient estimates for the Perona-Malik equation Math. Ann. (Accepted Paper) 2005 M. Ghisi, M. Gobbino: A class of local classical solutions for the one-dimensional Perona-Malik equation (Preprint) 2006 M. Ghisi, M. Gobbino: On the evolution of subcritical regions for the Perona-Malik (Preprint) 2009 M. Ghisi, M. Gobbino: An example of global classical solution for the Perona-Malik equation (Preprint) 2009 M. Gobbino, L. Granieri: Sul Problema della Gittata Ottimale 2 Archimede 2009 M. Colombo, M. Gobbino: Slow time behavior of the semidiscrete Perona-Malik scheme in dimension one SIAM J. Math. Anal. (Accepted Paper) p. 42, 2010 M. Colombo, M. Gobbino: Passing to the limit in maximal slope curves: from a regularized Perona-Malik equation to the total variation flow Math. Models Methods Appl. Sci. (Accepted Paper) 2011 A. Braides, M. Colombo, M. Gobbino, M. Solci: Minimizing movements along a sequence of functionals and curves of maximal slope C. R. Acad. Sci. Paris, Ser. I Vol. 354, N. 7, p. 685-689, 2016 M. Ghisi, M. Gobbino, G. Rovellini: Symmetry-breaking in a generalized Wirtinger inequality (preprint) 2017 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 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. Gobbino, N. Picenni: Gamma-liminf estimate for a class of non-local approximations of Sobolev and BV norms (preprint) 2023 M. Gobbino, N. Picenni: Multi-scale analysis of minimizers for a second order regularization of the Perona-Malik functional (preprint) 2023 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