L. De Pascale: Spazi di Sobolev su Spazi Metrici (Degree Thesis) 1996 L. De Pascale, E. Stepanov: Weak and strong density of compositions Trans. Amer. Math. Soc. Vol. 352, N. 8, p. 3707-3721, 2000 L. De Pascale: Morse-Sard theorem in Sobolev Spaces---Optimal transport problems and applications (Ph.D. Thesis) 2001 T. Champion, L. De Pascale: On the power law asymptotics for a model of dielectric breakdown (Accepted Paper) 2001 G. Buttazzo, L. De Pascale, I. Fragalà: Topological Equivalence of Some Variational Problems Involving Distances Discrete Contin. Dinam. Systems Vol. 7, p. 247-258, 2001 L. De Pascale: Morse-Sard Theorem in Sobolev Spaces Indiana University Mathematics Journal Vol. 50, N. 3, p. 1371-1387, 2001 L. De Pascale, A. Pratelli: Regularity properties for Monge Transport Density and for Solutions of some Shape Optimization Problem Calc. Var. Partial Differential Equations Vol. 14, N. 3, p. 249-274, 2002 L. De Pascale: On a constrained shape optimization problem Communications in Applied Analysis Vol. 7, N. 4, p. 485-498, 2003 G. Buttazzo, L. De Pascale: Optimal Shapes and Masses, and Optimal Transportation Problems Lecture Notes in Math., 1813, Springer, Berlin Vol. 1813, p. 11-51, 2003 T. Champion, L. De Pascale: Homogenization of Dirichlet problems with convex bounded constraints on the gradient Z. Anal. Anwendungen Vol. 22, N. 3, p. 591-608, 2003 T. Champion, L. De Pascale: On the power law asymptotics for a model of dielectric breakdown. Homogenization, 2001 (Naples), GAKUTO Internat. Ser. Math. Sci. Appl., 18, Gakk\=otosho, Tokyo p. 231-235, 2003 G. Bouchitté, G. Buttazzo, L. De Pascale: A p-Laplacian approximation for some mass optimization problems J. Optim. Theory Appl. Vol. 118, N. 1, p. 1-25, 2003 L. De Pascale, L. C. Evans, A. Pratelli: Integral estimates for transport densities Bulletin of the London Mathematical Society Vol. 36, N. 3, p. 383-395, 2004 L. De Pascale, A. Pratelli: Sharp summability for Monge Transport density via Interpolation ESAIM Control Optim. Calc. Var. Vol. 10 , N. 4, p. 549-552, 2004 T. Champion, L. De Pascale, F. Prinari: Semicontinuity ad Absolute Minimizers for Supremal Functionals ESAIM Control Optim. Calc. Var. Vol. 10, N. 1, p. 14-27, 2004 L. De Pascale, M. S. Gelli, L. Granieri: Minimal measures, one-dimensional currents and the Monge-Kantorovich problem Calc. Var. Partial Differential Equations Vol. 27, N. 1, p. 1-23, 2006 T. Champion, L. De Pascale: Asymptotic behavior of non linear eigenvalues problems involving p-laplacian type operators Proceedings of the Royal Society of Edinburgh Vol. 137A, p. 1179-1195, 2007 T. Champion, L. De Pascale: A principle of comparison with distance functions for absolute minimizers Journal of Convex Analysis Vol. 14, N. 3, 2007 G. Buttazzo, L. De Pascale, I. Fragalà: Erratum to: Topological equivalence of some variational problems involving distances Discrete and Continuous Dynamical Systems - Series A Vol. 18, N. 1, p. 219-220, 2007 T. Champion, L. De Pascale, P. Juutinen: The $\infty$-Wasserstein distance: local solutions and existence of optimal transport maps SIAM Journal of Mathematical Analysis Vol. 40, N. 1, p. 1-20, 2008 G. Bouchitté, G. Buttazzo, L. De Pascale: The Monge-Kantorovich problem for distributions and applications (Preprint) 2008 T. Champion, L. De Pascale: The Monge problem in $R^d$ Duke Mathematical Journal (Accepted Paper) 2009 T. Champion, L. De Pascale, C. Jimenez: The $\infty$-eigenvalue problem and a problem of optimal transportation Communications in Applied Analysis (Accepted Paper) Vol. (2009), 2009 G. Carlier, L. De Pascale, F. Santambrogio: A strategy for non-strictly convex transport costs and the example of $||x-y||^p$ in ${\mathbb R}^2$ Communications in Mathematical Sciences (Accepted Paper) p. 9, 2009 L. De Pascale, S. Rigot: Monge's transport problem in the Heisenberg group Adv. in Calc. Var. (Accepted Paper) 2010 T. Champion, L. De Pascale: The Monge problem for strictly convex norms in $R^d$ Journ. of the Eur. Math. Soc. Vol. 12, N. 6, p. 1355-1369, 2010 T. Champion, L. De Pascale: On the twist condition and c-monotone transport plans (Submitted Paper) p. 16, 2012 G. Buttazzo, L. De Pascale, P. Gori-Giorgi: Optimal-transport formulation of electronic density-functional theory Physical Review A (Accepted Paper) p. 12, 2012 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 L. De Pascale, C. Jimenez: Duality theory and optimal transport for sand piles growing in a silos Adv. Differential Equations (Preprint) p. 24, 2015 G. Buttazzo, T. Champion, L. De Pascale: Continuity and estimates for multimarginal optimal transportation problems with singular costs (Submitted Paper) 2016 L. De Pascale, J. Louet, F. Santambrogio: The Monge problem with vanishing gradient penalization: vortices and asymptotic profile J. Math. Pures Appl. Vol. 106, N. 2, p. 237-279, 2016 L. De Pascale, J. Louet: A study of the dual problem of the one-dimensional $L^\infty$-optimal transport problem with applications (Submitted Paper) 2017 U. Bindini, L. De Pascale: Optimal transport with Coulomb cost and the Semiclassical Limit of Density Functional Theory J. Éc. polytech. Math. (Accepted Paper) Vol. 4, p. 909-934, 2017 G. Bouchitté, G. Buttazzo, T. Champion, L. De Pascale: Dissociating limit in Density Functional Theory with Coulomb optimal transport cost (Submitted Paper) 2018 U. Bindini, L. De Pascale: From wave-functions to single electron densities (Submitted Paper) 2019 G. Bouchitté, G. Buttazzo, T. Champion, L. De Pascale: Relaxed multi-marginal costs and quantization effects (Preprint) 2019 U. Bindini, L. De Pascale, A. Kausamo: On Seidl-type maps for multi-marginal optimal transport with Coulomb cost (Submitted Paper) 2020 C. Brizzi, L. De Pascale: A property of Absolute Minimizers in $L^\infty$ Calculus of Variations and of solutions of the Aronsson-Euler equation Advances in Differential Equations Vol. 28, N. 3-4, p. 287--310, 2023 C. Brizzi, L. De Pascale, A. Kausamo: $L^\infty$-optimal transport for a class of quasiconvex cost functions J. Math. Anal. Appl. Vol. 527, N. 1, p. Paper No. 127331, 18, 2023 C. Brizzi, G. Carlier, L. De Pascale: Entropic approximation of $\infty$-optimal transport problems (preprint) 2023