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 E. Bardelli, M. Colombo, A. C. G. Mennucci, A. Yezzi: Multiple Object Tracking via Prediction and Filtering with a Sobolev-type Metric on Curves Fifth Workshop on Non-Rigid Shape Analysis and Deformable Image Alignment (NORDIA'12) p. 10, 2012 L. Ambrosio, M. Colombo, S. Di Marino: Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope Advanced Studies in Pure Mathematics: "Variational methods for evolving objects" (Accepted Paper) http://arxiv.org/abs/1212.3779 Vol. 67, p. 1-58, 2012 L. Ambrosio, M. Colombo, G. De Philippis, A. Figalli: Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case Comm. Partial Differential Equations 2012 M. Colombo, S. Di Marino: Equality between Monge and Kantorovich multimarginal problems with Coulomb cost Ann. Mat. Pura Appl. (Accepted Paper) p. 14, 2013 M. Colombo, L. De Pascale, S. Di Marino: Multimarginal Optimal Transpor Maps for 1-Dimensional Repulsive Costs Canad. J. Math. (Accepted Paper) p. 18, 2013 F. Cagnetti, M. Colombo, G. De Philippis, F. Maggi: Rigidity of equality cases in Steiner's perimeter inequality Anal. PDE (Accepted Paper) http://arxiv.org/abs/1309.1639 2013 F. Cagnetti, M. Colombo, G. De Philippis, F. Maggi: Essential connectedness and the rigidity problem for Gaussian symmetrization J. Eur. Math. Soc. (Accepted Paper) http://arxiv.org/abs/1304.4527 2013 M. Colombo, E. Indrei: Obstructions to regularity in the classical Monge problem Math. Res. Lett. (Accepted Paper) 2014 L. Ambrosio, M. Colombo, G. De Philippis, A. Figalli: A global existence result for the semigeostrophic equations in three dimensional convex domains Discrete Contin. Dyn. Syst. 2014 M. Colombo, A. Figalli: Regularity results for very degenerate elliptic equations J. Math. Pures Appl. 2014 M. Colombo, A. Figalli: An excess-decay result for a class of degenerate elliptic equations Discrete Contin. Dyn. Syst. 2014 M. Colombo, G. Crippa, S. Spirito: Renormalized solutions to the continuity equation with an integrable damping term Calc. Var. PDE (Accepted Paper) 2015 M. Colombo: Flows of non-smooth vector fields and degenerate elliptic equations (Phd Thesis) 2015 P. Baroni, M. Colombo, G. Mingione: Harnack inequalities for double phase functionals Nonlinear Analysis Vol. 121, p. 206-222, 2015 M. Colombo, F. Stra: Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data Math. Models Methods Appl. Sci. (Accepted Paper) http://arxiv.org/abs/1507.08522 2015 L. Ambrosio, M. Colombo, A. Figalli: Existence and uniqueness of maximal regular flows for non-smooth vector fields Arch. Ration. Mech. Anal. 2015 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. Colombo, F. Maggi: Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters Nonlinear Analysis (Accepted Paper) 2016 P. Baroni, M. Colombo, G. Mingione: Non-autonomous functionals, borderline cases and related function classes St. Petersburg Math. J. Vol. 27, N. 3, p. 347-379, 2016 S. Bianchini, M. Colombo, G. Crippa, L. V. Spinolo: Optimality of integrability estimates for advection-diffusion equations (Submitted Paper) 2017 M. Colombo, A. De Rosa, A. Marchese, S. Stuvard: On the lower semicontinuous envelope of functionals defined on polyhedral chains Nonlinear Analysis Vol. 163C, p. 201-215, 2017 M. Colombo, L. Spolaor: Quantitative estimate on singularities in isoperimetric clusters CAG (Accepted Paper) 2017 M. Colombo, G. Crippa, L. V. Spinolo: On the singular local limit for conservation laws with nonlocal fluxes (Preprint) 2017 M. Colombo, N. Edelen, L. Spolaor: The singular set of minimal surfaces near polyhedral cones JDG (Accepted Paper) 2017 M. Colombo, A. Figalli, Y. Jhaveri: Lipschitz changes of variables between perturbations of log-concave measures Ann. Sc. Norm. Super. Pisa Cl. Sci. 2017 L. Ambrosio, M. Colombo, A. Figalli: On the Lagrangian structure of transport equations: the Vlasov-Poisson system Duke Math. J. 2017 P. Baroni, M. Colombo, G. Mingione: Regularity for general functionals with double phase Calc. Var. Partial Differ. Equ. 2018 M. Colombo, C. De Lellis, L. De Rosa : Ill-posedness of Leray solutions for the ipodissipative Navier--Stokes equations Comm. Math. Phys. Vol. 362, N. 2, p. 659-688, 2018 M. Colombo, A. De Rosa, A. Marchese: Improved stability of optimal traffic paths Calc. Var. Partial Differential Equations 2018 M. Colombo, L. Spolaor, B. Velichkov: A logarithmic epiperimetric inequality for the obstacle problem Geom. Funct. Anal. 2018 M. Colombo, S. Di Marino, F. Stra: Continuity of multi-marginal optimal transport with repulsive cost (Submitted Paper) 2019 M. Colombo, M. Fathi: Bounds on optimal transport maps onto log-concave measures (Preprint) 2019 M. Colombo, A. De Rosa, A. Marchese: Stability for the mailing problem J. Math. Pures Appl. 2019 M. Colombo, C. De Lellis, A. Massaccesi: The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system Comm. Pure Appl. Math. Vol. 73, N. 3, p. 609-663, 2020 E. Bruč, M. Colombo, C. De Lellis: Positive solutions of transport equations and classical nonuniqueness of characteristic curves Arch. Rat. Mech. Anal. 2020 M. Colombo, L. Spolaor, B. Velichkov: Direct epiperimetric inequalities for the thin obstacle problem and applications Comm. Pure Appl. Math. 2020 M. Colombo, L. Spolaor, B. Velichkov: On the asymptotic behavior of the solutions to parabolic variational inequalities J. Reine Angew. Math. 2020 M. Colombo, S. Di Marino, F. Stra: First order expansion in the semiclassical limit of the Levy-Lieb functional (preprint) http://arxiv.org/abs/2106.06282 2021 M. Colombo, A. De Rosa, A. Marchese: On the well-posedness of branched transportation Comm. Pure App. Math. 2021 M. Colombo, G. Crippa, E. Marconi, L. V. Spinolo: Local limit of nonlocal traffic models: convergence results and total variation blow-up Ann. de l'institute H. Poincaré, Analyse non linéaire (Accepted Paper) 2021 M. Colombo, R. Tione: On the commutativity of flows of rough vector fields JMPA Vol. 159, p. 294-312, 2021 E. Bruč, M. Colombo: Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space Communications in Mathematical Physics (Accepted Paper) 2021 D. Albritton, E. Bruč, M. Colombo: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations Annals of Mathematics 2021 M. Colombo, L. Spolaor, B. Velichkov: Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem Interfaces and Free Boundaries 2021 M. Colombo, G. Crippa, E. Marconi, L. V. Spinolo: Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate (Preprint) 2022 E. Bruč, M. Colombo, G. Crippa, C. De Lellis, M. Sorella: Onsager critical solutions of the forced Navier-Stokes equations Communications on Pure and Applied Analysis 2022 M. Colombo, A. De Rosa, A. Marchese, P. Pegon, A. Prouff: Stability of optimal traffic plans in the irrigation problem Discrete and Continuous Dynamical Systems Vol. 2, N. 4, p. 1647-1667, 2022 D. Albritton, E. Bruč, M. Colombo: Gluing non-unique Navier-Stokes solutions Annals of PDE 2022 M. Colombo, R. Tione: Non-classical solutions of the $p$-Laplace equation JEMS 2022 G. M. Coclite, M. Colombo, G. Crippa, N. De Nitti, A. Keimer, E. Marconi, L. Pflug, L. V. Spinolo: Olenik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit (Submitted Paper) 2023 L. Chizat, M. Colombo, X. Fernández-Real, A. Figalli: Infinite-width limit of deep linear neural networks Comm. Pure Appl. Math. (Accepted Paper) 2024 E. Bruč, M. Colombo, A. Kumar: Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field J. Eur. Math. Soc (Accepted Paper) 2024 D. Albritton, E. Bruč, M. Colombo, C. De Lellis, V. Giri, M. Janisch, H. Kwon: Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik Annals of Mathematics Studies Vol. 219, 2024 E. Bruč, M. Colombo, A. Kumar: Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity Duke Math. J. (Accepted Paper) 2024 E. Bruč, M. Colombo, C. J. P. Johansson: Lyapunov exponents, entropy and mixing for DiPerna-Lions flows (preprint) http://arxiv.org/abs/2510.02921 2025 E. Bruč, M. Colombo, G. De Philippis, C. J. P. Johansson: Regularity estimates in transport equations via heat flow and quantitative differentiation (preprint) http://arxiv.org/abs/2607.13751 2026