R. Argiolas, F. Charro, and I. Peral, On the Aleksandrov???Bakel???man???Pucci Estimate for Some Elliptic and Parabolic Nonlinear Operators, Archive for Rational Mechanics and Analysis, vol.45, issue.1, pp.875-917, 2011.
DOI : 10.1007/s00205-011-0434-y

S. N. Armstrong and C. K. Smart, Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity, The Annals of Probability, vol.42, issue.6, 2012.
DOI : 10.1214/13-AOP833
URL : https://hal.archives-ouvertes.fr/hal-00724927

I. Birindelli and F. Demengel, Eigenfunctions for singular fully nonlinear equations in unbounded domains, Nonlinear Differential Equations and Applications NoDEA, vol.20, issue.1, pp.697-714, 2010.
DOI : 10.1007/s00030-010-0077-y
URL : https://hal.archives-ouvertes.fr/hal-00842113

X. Cabré, Nondivergent elliptic equations on manifolds with nonnegative curvature, Communications on Pure and Applied Mathematics, vol.50, issue.7, pp.623-665, 1997.
DOI : 10.1002/(SICI)1097-0312(199707)50:7<623::AID-CPA2>3.3.CO;2-B

A. Luis, X. Caffarelli, and . Cabré, Fully nonlinear elliptic equations, 1995.

F. Charro, G. De-philippis, A. D. Castro, and D. Máximo, On the AleksandrovBakelmanPucci estimate for the infinity Laplacian, Calculus of Variations and Partial Differential Equations, pp.1-27, 2012.

G. Dávila, P. Felmer, and A. Quaas, Alexandroff???Bakelman???Pucci estimate for singular or degenerate fully nonlinear elliptic equations, Comptes Rendus Mathematique, vol.347, issue.19-20, pp.19-201165, 2009.
DOI : 10.1016/j.crma.2009.09.009

G. Dávila, P. Felmer, and A. Quaas, Harnack inequality for singular fully nonlinear operators and some existence results, Calculus of Variations and Partial Differential Equations, vol.64, issue.3, pp.3-4557, 2010.
DOI : 10.1007/s00526-010-0325-3

F. Delarue, Krylov and Safonov estimates for degenerate quasilinear elliptic PDEs, Journal of Differential Equations, vol.248, issue.4, pp.924-951, 2010.
DOI : 10.1016/j.jde.2009.11.018
URL : https://hal.archives-ouvertes.fr/hal-00330023

J. Hiriart-urruty, The approximate first-order and second-order directional derivatives for a convex function, Mathematical theories of optimization, pp.144-177, 1981.
DOI : 10.1137/0314056

C. Imbert, Alexandroff???Bakelman???Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations, Journal of Differential Equations, vol.250, issue.3, pp.1553-1574, 2011.
DOI : 10.1016/j.jde.2010.07.005
URL : https://hal.archives-ouvertes.fr/hal-00366901

T. and J. Miotto, THE ALEKSANDROV???BAKELMAN???PUCCI ESTIMATES FOR SINGULAR FULLY NONLINEAR OPERATORS, Communications in Contemporary Mathematics, vol.12, issue.04, pp.607-627, 2010.
DOI : 10.1142/S0219199710003956

N. V. Krylov and M. V. Safonov, An estimate for the probability of a diffusion process hitting a set of positive measure, Dokl. Akad. Nauk SSSR, vol.245, issue.1, pp.18-20, 1979.

N. V. Krylov and M. V. Safonov, A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS, Mathematics of the USSR-Izvestiya, vol.16, issue.1, pp.161-175, 1980.
DOI : 10.1070/IM1981v016n01ABEH001283

M. V. Safonov, Non-divergence elliptic equations of second order with unbounded drift In Nonlinear partial differential equations and related topics, volume 229 of Amer, Math. Soc. Transl. Ser, vol.2, pp.211-232, 2010.

O. Savin, Small Perturbation Solutions for Elliptic Equations, Communications in Partial Differential Equations, vol.6, issue.4, pp.557-578, 2007.
DOI : 10.1512/iumj.1993.42.42007