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 M. Colombo, A. Figalli: Regularity results for very degenerate elliptic equations J. Math. Pures Appl. (Accepted Paper) 2012 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. (Accepted Paper) 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 (Accepted Paper) 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) Vol. 67, p. 1-58, 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, A. Figalli: An excess-decay result for a class of degenerate elliptic equations Discrete Contin. Dyn. Syst. (Accepted Paper) 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) 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) 2013 M. Colombo, E. Indrei: Obstructions to regularity in the classical Monge problem Math. Res. Lett. (Accepted Paper) 2014 M. Colombo, G. Crippa, S. Spirito: Renormalized solutions to the continuity equation with an integrable damping term Calc. Var. PDE (Accepted Paper) 2015 L. Ambrosio, M. Colombo, A. Figalli: Existence and uniqueness of maximal regular flows for non-smooth vector fields Arch. Ration. Mech. Anal. (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) 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. Figalli, Y. Jhaveri: Lipschitz changes of variables between perturbations of log-concave measures Ann. Sc. Norm. Super. Pisa Cl. Sci. (Accepted Paper) 2017 L. Ambrosio, M. Colombo, A. Figalli: On the Lagrangian structure of transport equations: the Vlasov-Poisson system Duke Math. J. (Accepted 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, L. Spolaor, B. Velichkov: A logarithmic epiperimetric inequality for the obstacle problem Geom. Funct. Anal. (Accepted Paper) 2017 M. Colombo, N. Edelen, L. Spolaor: The singular set of minimal surfaces near polyhedral cones JDG (Accepted Paper) 2017 M. Colombo, L. Spolaor, B. Velichkov: Direct epiperimetric inequalities for the thin obstacle problem and applications Comm. Pure Appl. Math. (Accepted Paper) 2017 P. Baroni, M. Colombo, G. Mingione: Regularity for general functionals with double phase Calc. Var. Partial Differ. Equ. 2018 M. Colombo, L. Spolaor, B. Velichkov: On the asymptotic behavior of the solutions to parabolic variational inequalities J. Reine Agnew. Math. (Accepted Paper) 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, 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: Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem Interfaces and Free Boundaries (Accepted Paper) 2021 M. Colombo, S. Di Marino, F. Stra: First order expansion in the semiclassical limit of the Levy-Lieb functional (preprint) 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, A. De Rosa, A. Marchese, P. Pegon, A. Prouff: Stability of optimal traffic plans in the irrigation problem Discrete Contin. Dyn. Syst. 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, 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 (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, G. Crippa, E. Marconi, L. V. Spinolo: Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate (Preprint) 2022 D. Albritton, E. Bruč, M. Colombo: Gluing non-unique Navier-Stokes solutions (Preprint) 2022 M. Colombo, R. Tione: Non-classical solutions of the $p$-Laplace equation JEMS (Accepted Paper) 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 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