, Viscosity Solutions Methods for Singular Perturbations in Deterministic and Stochastic Control, SIAM Journal on Control and Optimization, vol.40, issue.4, pp.1159-1188, 2001.
DOI : 10.1137/S0363012900366741
, Singular Perturbations of Nonlinear Degenerate Parabolic PDEs: a General Convergence Result, Archive for Rational Mechanics and Analysis, vol.170, issue.1, pp.17-61, 2003.
DOI : 10.1007/s00205-003-0266-5
, Multiscale problems and homogenization for second-order Hamilton???Jacobi equations, Journal of Differential Equations, vol.243, issue.2, p.349387, 2007.
DOI : 10.1016/j.jde.2007.05.027
URL : http://doi.org/10.1016/j.jde.2007.05.027
, Long time averaged reflection force and homogenization of oscillating Neumann boundary conditions, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.20, issue.2, pp.293-332, 2003.
DOI : 10.1016/S0294-1449(02)00025-2
, On ergodic stochastic control, Communications in Partial Differential Equations, vol.318, issue.11-12, pp.2187-2217, 1998.
DOI : 10.1137/0319020
, On the strong maximum principle for fully nonlinear degenerate elliptic equations, Archiv der Mathematik, vol.73, issue.4, pp.276-285, 1999.
DOI : 10.1007/s000130050399
, Solutions de viscosité deséquationsdeséquations de Hamilton-Jacobi. Collection Mathématiques et Applications, 1994.
, Nonlinear Neumann Boundary Conditions for Quasilinear Degenerate Elliptic Equations and Applications, Journal of Differential Equations, vol.154, issue.1, pp.191-224, 1999.
DOI : 10.1006/jdeq.1998.3568
, C 0,? -regularity and estimates for solutions of elliptic and parabolic equations by the Ishii & Lions method
, A Geometrical Approach to the Study??of Unbounded Solutions??of Quasilinear Parabolic Equations, Archive for Rational Mechanics and Analysis, vol.162, issue.4, pp.287-325, 2002.
DOI : 10.1007/s002050200188
, On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.22, issue.5
DOI : 10.1016/j.anihpc.2004.09.001
URL : https://hal.archives-ouvertes.fr/hal-00002826
, Local C 0,? estimates for viscosity solutions of Neumann-type boundary value problems
URL : https://hal.archives-ouvertes.fr/hal-00426355
, Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions, Indiana University Mathematics Journal, vol.57, issue.5, pp.2355-2376, 2008.
DOI : 10.1512/iumj.2008.57.3363
URL : https://hal.archives-ouvertes.fr/hal-00426354
, Remarques sur lesprobì emes de reflexion obliques, C. R. Acad. Sci. Paris, t. 320 Serie I, pp.69-74, 1995.
, Sufficient structure conditions for uniqueness of viscosity solutions of semilinear and quasilinear equations, Nonlinear Differential Equations and Applications NoDEA, vol.12, issue.4
DOI : 10.1007/s00030-005-0024-5
, On the large time behaviour of solutions of Hamilton-Jacobi equations, SIAM J. Math. Anal, pp.31-925, 2000.
, Space-Time Periodic Solutions and Long-Time Behavior of Solutions to Quasi-linear Parabolic Equations, SIAM Journal on Mathematical Analysis, vol.32, issue.6, pp.1311-1323, 2001.
DOI : 10.1137/S0036141000369344
, Perturbation methods in optimal control, Translated from the French by C. Tomson, Villars Series in Modern Applied Mathematics, 1988.
, User's guide to viscosity solutions of second order Partial differential equations, Bull, Amer. Soc, pp.27-28, 1992.
, COMPARISON RESULTS FOR QUASILINEAR EQUATIONS IN ANNULAR DOMAINS AND APPLICATIONS1*, Communications in Partial Differential Equations, vol.24, issue.1-2, pp.283-323, 2002.
DOI : 10.1006/jdeq.1994.1162
, Synopsis, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.1248, issue.3-4, pp.359-375, 1989.
DOI : 10.1137/0326063
, Synopsis, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.120, issue.3-4, pp.245-265, 1992.
DOI : 10.1090/S0002-9947-1983-0690039-8
, Homogenization in polygonal domains, Journal of the European Mathematical Society, vol.13, issue.5, 2011.
DOI : 10.4171/JEMS/286
, Almost periodic homogenization of Hamilton-Jacobi equations, International Conference on Differential Equations, pp.600-605, 1999.
DOI : 10.1142/9789812792617_0122
, Perron's method for Hamilton-Jacobi Equations, Duke Math, J, vol.55, pp.369-384, 1987.
DOI : 10.1215/s0012-7094-87-05521-9
URL : http://projecteuclid.org/download/pdf_1/euclid.dmj/1077306027
, Fully nonlinear oblique derivative problems for nonlinear second-order elliptic PDE's, Duke Math, J, vol.62, pp.663-691, 1991.
, Viscosity solutions of fully nonlinear second-order elliptic partial differential equations, Journal of Differential Equations, vol.83, issue.1, pp.26-78, 1990.
DOI : 10.1016/0022-0396(90)90068-Z
, 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
, Homogenization of ???Viscous??? Hamilton???Jacobi Equations in Stationary Ergodic Media, Communications in Partial Differential Equations, vol.20, issue.3, 2005.
DOI : 10.1016/0022-0396(85)90084-1
, Stochastic homogenization of Hamilton-Jacobi and " viscous " - Hamilton-Jacobi equations with convex nonlinearitiesrevisited, Commun. Math. Sci, vol.8, issue.2, p.627637, 2010.
, Stochastic differential equations with reflecting boundary conditions, Communications on Pure and Applied Mathematics, vol.11, issue.4, pp.511-537, 1984.
DOI : 10.1002/cpa.3160370408
, Homogenization of diffusion processes with boundary conditions. Stochastic analysis and applications, Adv. Probab, pp.411-437, 1984.