Luigi De Pascale
[depascal]
Associate Professor, Dipartimento di Matematica ed Informatica "U. Dini" (Firenze)
Email: depascal AT dm.unipi.it
Home-page: http://www.math.unifi.it/~depascal
orcid id: 0000-0002-1054-5544
Available papers (41):
[plain text]- C. Brizzi - L. De Pascale (Advances in Differential Equations)
A property of Absolute Minimizers in $L^\infty$ Calculus of Variations and of solutions of the Aronsson-Euler equation (2023) - C. Brizzi - L. De Pascale - A. Kausamo (J. Math. Anal. Appl.)
$L^\infty$-optimal transport for a class of quasiconvex cost functions (2023) - C. Brizzi - G. Carlier - L. De Pascale (preprint)
Entropic approximation of $\infty$-optimal transport problems (2023) - U. Bindini - L. De Pascale - A. Kausamo (Submitted Paper)
On Seidl-type maps for multi-marginal optimal transport with Coulomb cost (2020) - G. Bouchitté - G. Buttazzo - T. Champion - L. De Pascale (Preprint)
Relaxed multi-marginal costs and quantization effects (2019) - U. Bindini - L. De Pascale (Submitted Paper)
From wave-functions to single electron densities (2019) - G. Bouchitté - G. Buttazzo - T. Champion - L. De Pascale (Submitted Paper)
Dissociating limit in Density Functional Theory with Coulomb optimal transport cost (2018) - L. De Pascale - J. Louet (Submitted Paper)
A study of the dual problem of the one-dimensional $L^\infty$-optimal transport problem with applications (2017) - U. Bindini - L. De Pascale (Accepted Paper: J. Éc. polytech. Math.)
Optimal transport with Coulomb cost and the Semiclassical Limit of Density Functional Theory (2017) - G. Buttazzo - T. Champion - L. De Pascale (Submitted Paper)
Continuity and estimates for multimarginal optimal transportation problems with singular costs (2016) - L. De Pascale - J. Louet - F. Santambrogio (J. Math. Pures Appl.)
The Monge problem with vanishing gradient penalization: vortices and asymptotic profile (2016) - L. De Pascale - C. Jimenez (Preprint: Adv. Differential Equations)
Duality theory and optimal transport for sand piles growing in a silos (2015) - M. Colombo - L. De Pascale - S. Di Marino (Accepted Paper: Canad. J. Math.)
Multimarginal Optimal Transpor Maps for 1-Dimensional Repulsive Costs (2013) - T. Champion - L. De Pascale (Submitted Paper)
On the twist condition and c-monotone transport plans (2012) - G. Buttazzo - L. De Pascale - P. Gori-Giorgi (Accepted Paper: Physical Review A)
Optimal-transport formulation of electronic density-functional theory (2012) - L. De Pascale - S. Rigot (Accepted Paper: Adv. in Calc. Var.)
Monge's transport problem in the Heisenberg group (2010) - T. Champion - L. De Pascale (Journ. of the Eur. Math. Soc.)
The Monge problem for strictly convex norms in $R^d$ (2010) - T. Champion - L. De Pascale (Accepted Paper: Duke Mathematical Journal)
The Monge problem in $R^d$ (2009) - T. Champion - L. De Pascale - C. Jimenez (Accepted Paper: Communications in Applied Analysis)
The $\infty$-eigenvalue problem and a problem of optimal transportation (2009) - G. Carlier - L. De Pascale - F. Santambrogio (Accepted Paper: Communications in Mathematical Sciences)
A strategy for non-strictly convex transport costs and the example of $||x-y||^p$ in ${\mathbb R}^2$ (2009) - T. Champion - L. De Pascale - P. Juutinen (SIAM Journal of Mathematical Analysis)
The $\infty$-Wasserstein distance: local solutions and existence of optimal transport maps (2008) - G. Bouchitté - G. Buttazzo - L. De Pascale (Preprint)
The Monge-Kantorovich problem for distributions and applications (2008) - T. Champion - L. De Pascale (Proceedings of the Royal Society of Edinburgh)
Asymptotic behavior of non linear eigenvalues problems involving p-laplacian type operators (2007) - T. Champion - L. De Pascale (Journal of Convex Analysis)
A principle of comparison with distance functions for absolute minimizers (2007) - G. Buttazzo - L. De Pascale - I. Fragalà (Discrete and Continuous Dynamical Systems - Series A)
Erratum to: Topological equivalence of some variational problems involving distances (2007) - L. De Pascale - M. S. Gelli - L. Granieri (Calc. Var. Partial Differential Equations)
Minimal measures, one-dimensional currents and the Monge-Kantorovich problem (2006) - L. De Pascale - L. C. Evans - A. Pratelli (Bulletin of the London Mathematical Society)
Integral estimates for transport densities (2004) - L. De Pascale - A. Pratelli ( ESAIM Control Optim. Calc. Var. )
Sharp summability for Monge Transport density via Interpolation (2004) - T. Champion - L. De Pascale - F. Prinari ( ESAIM Control Optim. Calc. Var.)
Semicontinuity ad Absolute Minimizers for Supremal Functionals (2004) - L. De Pascale (Communications in Applied Analysis )
On a constrained shape optimization problem (2003) - G. Buttazzo - L. De Pascale ( Lecture Notes in Math., 1813, Springer, Berlin)
Optimal Shapes and Masses, and Optimal Transportation Problems (2003) - T. Champion - L. De Pascale ( Z. Anal. Anwendungen )
Homogenization of Dirichlet problems with convex bounded constraints on the gradient (2003) - T. Champion - L. De Pascale ( Homogenization, 2001 (Naples), GAKUTO Internat. Ser. Math. Sci. Appl., 18, Gakk\=otosho, Tokyo)
On the power law asymptotics for a model of dielectric breakdown. (2003) - G. Bouchitté - G. Buttazzo - L. De Pascale (J. Optim. Theory Appl. )
A p-Laplacian approximation for some mass optimization problems (2003) - L. De Pascale - A. Pratelli (Calc. Var. Partial Differential Equations)
Regularity properties for Monge Transport Density and for Solutions of some Shape Optimization Problem (2002) - L. De Pascale (Ph.D. Thesis)
Morse-Sard theorem in Sobolev Spaces---Optimal transport problems and applications (2001) - T. Champion - L. De Pascale (Accepted Paper)
On the power law asymptotics for a model of dielectric breakdown (2001) - G. Buttazzo - L. De Pascale - I. Fragalà (Discrete Contin. Dinam. Systems)
Topological Equivalence of Some Variational Problems Involving Distances (2001) - L. De Pascale (Indiana University Mathematics Journal)
Morse-Sard Theorem in Sobolev Spaces (2001) - L. De Pascale - E. Stepanov (Trans. Amer. Math. Soc.)
Weak and strong density of compositions (2000) - L. De Pascale (Degree Thesis)
Spazi di Sobolev su Spazi Metrici (1996)
Seminars:
- 7 mar 2018: Duality for the W_\infty Wasserstein distance
- 11 may 2016: Progressi recenti sul trasporto multimarginale con costo Coulombiano, applicazioni e problemi aperti.
- 4 jun 2014: A first analysis of the Monge Problem with vanishing gradient penalization.
- 9 mar 2011: A short introduction to Density Functionals Theory
- 5 dec 2007: Foliazioni minimali alla Moser
- 9 may 2007: Come si derivano le equazioni di Aronsson-Euler.
- 18 may 2006: Random turn games and the Aronsson-Euler equations
- 24 nov 2004: Regularity of infty-harmonic functions in dimension two
- 8 may 2003: Misure minimali e 1-correnti chiuse minimizzanti
- 31 jan 2002: Displacement convexity
- 26 apr 2001: Calcolo delle variazioni in $L^\infty$: esistenza di minimizzanti assoluti
Speaker:
- 20 may 2024 - 22 may 2024: 50 Anni di Calcolo delle Variazioni
- 6 sep 2022 - 7 sep 2022: Optimal Transport and Uncertanity - second edition
- 26 nov 2021 - 26 nov 2021: Optimal transport and uncertanity
- 19 may 2021 - 21 may 2021: ''Workshop on $L^\infty$ and constrained variational problems''.
- 19 jun 2019 - 22 jun 2019: Nonlinear Averaging and PDEs
- 12 nov 2018 - 16 nov 2018: Optimal Transport and Applications
- 8 apr 2013 - 30 jun 2013: Introduction to Optimal Transportation Theory and Applications.
- 18 jun 2012 - 22 jun 2012: Optimal Transport (to) Orsay
Organizer:
- 24 jun 2019 - 28 jun 2019: People in Optimal Transportation and Applications
- 8 apr 2013 - 30 jun 2013: Introduction to Optimal Transportation Theory and Applications.
- 17 nov 2011 - 17 nov 2011: Mass Transportation and Related Fields