Mean field games: additional notes, C.I.M.E. course, 2011. ,
Mean Field Games: Numerical Methods for the Planning Problem, SIAM Journal on Control and Optimization, vol.50, issue.1, pp.77-109, 2012. ,
DOI : 10.1137/100790069
URL : https://hal.archives-ouvertes.fr/hal-00465404
Bardi: Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations, Mem. Amer, Math. Soc, vol.204, pp.1-88, 2010. ,
DOI : 10.1090/s0065-9266-09-00588-2
A general chain rule for distributional derivatives, Proc. Amer, pp.691-702, 1990. ,
DOI : 10.1090/S0002-9939-1990-0969514-3
On ergodic stochastic control, Communications in Partial Differential Equations, vol.318, issue.11-12, pp.11-12, 1998. ,
DOI : 10.1137/0319020
Perturbation methods in optimal control, 1988. ,
Nonlinear elliptic systems in stochastic game theory, J. Reine Angew. Math, vol.350, pp.23-67, 1984. ,
On Bellman equations of ergodic type with quadratic growth Hamiltonians, Contributions to modern calculus of variations, Pitman Res. Notes Math. Ser. Longman Sci. Tech, vol.148, pp.13-25, 1985. ,
Ergodic Bellman Systems for Stochastic Games in Arbitrary Dimension, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.449, issue.1935, pp.65-77, 1935. ,
DOI : 10.1098/rspa.1995.0032
Regularity results for nonlinear elliptic systems and applications, 2002. ,
DOI : 10.1007/978-3-662-12905-0
Frehse: On diagonal elliptic and parabolic systems with superquadratic Hamiltonians, Commun. Pure Appl. Anal, vol.8, issue.1, p.8394, 2009. ,
Asymptotic analysis for periodic structures, Studies in Mathematics and its Applications, 1978. ,
Stochastic differential games: Occupation measure based approach, Errata corrige, pp.359-385, 1992. ,
DOI : 10.1007/BF00940187
URL : http://link.springer.com/content/pdf/10.1007%2FBF00940187.pdf
Sobolev spaces on domains, Teubner-Texte zur Mathematik, Teubner Texts in Mathematics, vol.137, 1998. ,
DOI : 10.1007/978-3-663-11374-4
Notes on Mean Field Games (from P-L. Lions' lectures atColì ege de France, 2010. ,
Measure theory and fine properties of functions, Studies in Advanced Mathematics, 1992. ,
Stochastic Differential Equations and Applications, 1976. ,
DOI : 10.1007/978-3-642-11079-5_2
Suresh: A nonzero-sum stochastic differential game in the orthant, J. Math. Anal. Appl, vol.305, issue.1, p.158174, 2005. ,
Elliptic partial differential equations of second order, Classics in Mathematics, 2001. ,
Lions: Mean field games and applications, Paris- Princeton Lectures on Mathematical Finance Lecture Notes in Math, p.205266, 2003. ,
Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle, Commun. Inf. Syst, vol.6, pp.221-251, 2006. ,
Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized <formula formulatype="inline"> <tex>$\varepsilon$</tex></formula>-Nash Equilibria, IEEE Transactions on Automatic Control, vol.52, issue.9, pp.1560-1571, 2007. ,
DOI : 10.1109/TAC.2007.904450
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
Mean field games, Japanese Journal of Mathematics, vol.4, issue.1, pp.229-260, 2007. ,
DOI : 10.1007/s11537-007-0657-8
URL : https://hal.archives-ouvertes.fr/hal-00667356
Résolution deprobì emes elliptiques quasilinéaires, Arch. Rational Mech. Anal, vol.74, issue.4, pp.335-353, 1980. ,
DOI : 10.1007/bf00249679
Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.22, issue.5, p.667677, 2005. ,
DOI : 10.1016/j.anihpc.2004.10.009
Nonzero-Sum Stochastic Differential Games with Discontinuous Feedback, SIAM Journal on Control and Optimization, vol.43, issue.4, p.12221233, 2004. ,
DOI : 10.1137/S0363012903423715
On L p Estimates and Regularity, I, American Journal of Mathematics, vol.85, issue.1, pp.1-13, 1963. ,
DOI : 10.2307/2373179
Gradient estimates for solutions of nonlinear elliptic and parabolic equations , Contributions to nonlinear functional analysis, Proc. Sympos., Math. Res. Center, Univ. Wisconsin, p.565601, 1971. ,
The Problem of Dirichlet for Quasilinear Elliptic Differential Equations with Many Independent Variables, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.264, issue.1153, pp.413-496, 1969. ,
DOI : 10.1098/rsta.1969.0033
A fixed-point theorem, Mathematical Proceedings of the Cambridge Philosophical Society, vol.57, issue.02, 1974. ,
DOI : 10.1017/S0305004100035404