Existence, Uniqueness, Stability and Differentiability Properties of the Flow Associated to Weakly Differentiable Vector Fields, Transport equations and multi-D hyperbolic conservation laws, pp.3-57, 2008. ,
DOI : 10.1007/978-3-540-76781-7_1
On the regularity of the pressure field of Brenier???s weak solutions to incompressible Euler equations, Calculus of Variations and Partial Differential Equations, vol.4, issue.5, pp.497-509, 2008. ,
DOI : 10.5802/aif.233
Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations, Comm. Pure Appl. Math, vol.52, issue.4, pp.411-452, 1999. ,
Weak solutions for first order mean field games with local coupling In Analysis and geometry in control theory and its applications, pp.111-158, 2015. ,
Mean field games systems of first order, ESAIM: Control, Optimisation and Calculus of Variations, vol.21, issue.3, pp.690-722, 2015. ,
DOI : 10.1051/cocv/2014044
URL : https://hal.archives-ouvertes.fr/hal-00925905
Second order mean field games with degenerate diffusion and local coupling, Nonlinear Differential Equations and Applications NoDEA, vol.15, issue.1, pp.1287-1317, 2015. ,
DOI : 10.5802/aif.204
URL : https://hal.archives-ouvertes.fr/hal-01049834
Long time average of mean field games, Networks and Heterogeneous Media, vol.7, issue.2, pp.279-301, 2012. ,
DOI : 10.3934/nhm.2012.7.279
URL : https://hal.archives-ouvertes.fr/hal-00767403
Long Time Average of Mean Field Games with a Nonlocal Coupling, SIAM Journal on Control and Optimization, vol.51, issue.5, pp.3558-3591, 2013. ,
DOI : 10.1137/120904184
URL : https://hal.archives-ouvertes.fr/hal-00914803
First Order Mean Field Games with Density Constraints: Pressure Equals Price, SIAM Journal on Control and Optimization, vol.54, issue.5, 2015. ,
DOI : 10.1137/15M1029849
URL : https://hal.archives-ouvertes.fr/hal-01173947
Sobolev regularity for the first order Hamilton???Jacobi equation, Calculus of Variations and Partial Differential Equations, vol.2, issue.1, pp.3037-3065, 2015. ,
DOI : 10.1007/s11537-007-0657-8
URL : https://hal.archives-ouvertes.fr/hal-01251162
Adjoint and compensated compactness methods for, Arch. Ration. Mech. Anal, vol.197, issue.3, pp.1053-1088, 2010. ,
On the first order planning problem in the theory of mean field games ,
Time-Dependent Mean-Field Games in the Subquadratic Case, Communications in Partial Differential Equations, vol.6, issue.68, pp.40-76, 2015. ,
DOI : 10.1007/s00526-010-0363-x
Time-dependent mean-field games in the superquadratic case, ESAIM: Control, Optimisation and Calculus of Variations, vol.22, issue.2, pp.562-580, 2016. ,
DOI : 10.1051/cocv/2015029
Regularity theory for mean-field game systems, 2016. ,
DOI : 10.1007/978-3-319-38934-9
Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle, Commun. Inf. Syst, vol.6, issue.3, pp.221-251, 2006. ,
Jeux ?? champ moyen. I ??? Le cas stationnaire, Comptes Rendus Mathematique, vol.343, issue.9, pp.619-625, 2006. ,
DOI : 10.1016/j.crma.2006.09.019
Jeux ?? champ moyen. II ??? Horizon fini et contr??le optimal, Comptes Rendus Mathematique, vol.343, issue.10, pp.679-684, 2006. ,
DOI : 10.1016/j.crma.2006.09.018
Mean field games, Japanese Journal of Mathematics, vol.4, issue.1, pp.229-260, 2007. ,
DOI : 10.1016/j.crma.2006.09.018
URL : https://hal.archives-ouvertes.fr/hal-00667356
Optimal density evolution with congestion: L ? bounds via flow interchange techniques and applications to variational mean field games. preprint, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01522084
Weak solutions to Fokker-Planck equations and mean field games, Arch. Ration. Mech. Anal, vol.216, issue.1, pp.1-62, 2015. ,
Global-in-time regularity via duality for congestion-penalized mean field games, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01295289
Regularity via duality in calculus of variations and degenerate elliptic pdes, J. Math. Anal. Appl, 2017. ,