Second order mean field games with degenerate diffusion and local coupling

Stampacchia G., Le problème de Dirichlet pour les équations elliptiques du seconde ordre à coefficients discontinus

1965

Earlier work this paper cites.

DiPerna R. and Lions P.-L., Ordinary differential equations, transport theory and Sobolev spaces , Inventiones mathematicae, 98 (1989), no. 3, 511–547

1989

Earlier work this paper cites.

DiBenedetto E., Degenerate parabolic equations, Springer-Verlag, 1993

1993

Earlier work this paper cites.

Ishii H., On the equivalence of two notions of weak solutions, viscosity solutions and distribution solutions , Funkcial. Ekvac 38

1995

Earlier work this paper cites.

Ekeland, I., and Tèmam, R. Convex analysis and variational problems, english ed., vol. 28 of Classics in Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1999. Translated from the French

1999

Earlier work this paper cites.

Benamou J.D., Brenier Y., A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

2000

Earlier work this paper cites.

Huang, M., Malhamé, R.P., Caines, P.E. (2006). Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle

2006

Earlier work this paper cites.

Lasry, J.-M., Lions, P.-L. Jeux à champ moyen. I. Le cas stationnaire

2006

Cited alongside, same era.

Lasry, J.-M., Lions, P.-L. Jeux à champ moyen. II. Horizon fini et contrôle optimal

2006

Cited alongside, same era.

Lasry, J.-M., Lions, P.-L. Mean field games

2007

Cited alongside, same era.

Ambrosio, L., Gigli, N., Savarè, G. Gradient flows in metric spaces and in the space of probability measures. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, Basel, 2008

2008

Cited alongside, same era.

Le Bris C. and Lions P.-L., Existence and uniqueness of solutions to Fokker–Planck type equations with irregular coefficients , Communications in Partial Differential Equations 33

2008

Cited alongside, same era.

Cardaliaguet P., Lasry J.-M., Lions P.-L., Porretta A. Long time average of mean field games

2012

Later among the works it cites.

R. Carmona and F. Delarue. Probabilist analysis of Mean-Field Games

2013

Later among the works it cites.

Gomes, D. A., Pimentel, E., Sánchez-Morgado, H. Time dependent mean-field games in the subquadratic case

Original

2013

Later among the works it cites.

Gomes, D. A., Pimentel, E., Sánchez-Morgado, H. Time dependent mean-field games in the superquadratic case

Original

2013

Later among the works it cites.

Porretta A. Weak solutions to Fokker-Planck equations and mean field games. Preprint (2013)

2013

Later among the works it cites.