Research
Main research interests
Calculus of Variations,
Optimal Transport,
Degenerate elliptic PDEs,
Evolution equations, gradient flows, population dynamics,
Equilibrium problems, Game Theory, economical applications,
Numerics and approximation
Papers, on the CVGMT
website
List of publications (updated
June 2023)
Most recent topics
-
Fundamental theory of optimal transport (transport plans, densities,
potentials, existence and regularity of transport maps)
-
Mean Field Games: variational formulation, regularity, density
constraints
new: variational MFG with jumps
-
Gradient flows in Wasserstein spaces
Density-constrained PDEs for crowd motion
new: BV and Sobolev estimates for the JKO scheme
new: Lipschitz estimates in nonlinear diffusion
-
Optimal quantization of measures
Main, most recent, and regular collaborators
(excluding the works I did with my PhD students, see the dedicated page)
Lorenzo Brasco (Ferrara)
Giuseppe Buttazzo
(Pisa)
Pierre
Cardaliaguet (Dauphine)
Guillaume
Carlier (Dauphine)
José Antonio
Carrillo de La Plata (Oxford)
Gigi De Pascale (Firenze)
Simone Di Marino
(Genova)
Alessio Figalli
(ETH)
Chloé Jimenez (Brest)
Antoine
Lemenant (Nancy)
Bertrand Maury (Orsay)
Quentin Mérigot (Orsay)
Xu-Jia Wang
(Canberra)
Qinglan Xia (UC Davis)