A. Davini: On calibrations for Lawson's cones Rend. Sem. Mat. Univ. Padova Vol. 111, p. 55-70, 2004 A. Davini: Finsler metrics in Optimization Problems and Hamilton-Jacobi equations (Ph.D. Thesis) 2004 G. Buttazzo, A. Davini, I. Fragalà, F. Macià: Optimal Riemannian distances preventing mass transfer J. Reine Angew. Math. (Crelles Journal) Vol. 575, p. 157-171, 2004 A. Davini: Smooth approximation of weak Finsler metrics Adv. Differential Equations Vol. 18, N. 8, p. 509-530, 2005 A. Briani, A. Davini: Monge solutions for discontinuous Hamiltonians ESAIM: Control Opt. Calc. Var. Vol. 11, p. 229-251, 2005 A. Davini: On the relaxation of a class of functionals defined on Riemannian distances J. Convex Anal. Vol. 12, N. 1, p. 113130, 2005 A. Davini, M. Ponsiglione: Homogenization of two--phase metrics and applications J. Analyse Math. 2006 A. Davini, A. Siconolfi: A generalized dynamical approach to the large time behavior of solutions of Hamilton-Jacobi equations SIAM J. Math. Anal. Vol. 38, N. 2, p. 478-502, 2006 A. Davini: Integral representation of abstract functionals of autonomous type Proc. Roy. Soc. Edinburgh Sect. A 2006 A. Davini: Bolza Problems with discontinuous Lagrangians and Lipschitz--continuity of the value function SIAM J. Control Optim. 2007 A. Davini, A. Siconolfi: Exact and approximate correctors for stochastic Hamiltonians: the 1--dimensional case Math. Annalen 2009 A. Davini, A. Siconolfi: Metric techniques for convex stationary ergodic Hamiltonians Calc. Var. Partial Differential Equations Vol. 40, N. 3-4, p. 391421, 2011 A. Davini, A. Siconolfi: Weak KAM Theory topics in the stationary ergodic setting Calc. Var. Partial Differential Equations Vol. 44, N. 3-4, p. 319350, 2012 A. Davini, M. Zavidovique: Weak KAM theory for nonregular commuting Hamiltonians Discrete Contin. Dyn. Syst. Ser. Vol. 18, N. 1, p. 5794, 2013 A. Davini, M. Zavidovique: Aubry sets for weakly coupled systems of Hamilton--Jacobi equations SIAM J. Math. Anal. Vol. 46, N. 5, p. 33613389, 2014 A. Davini, M. Zavidovique: On the (non) existence of viscosity solutions of multi-time Hamilton-Jacobi equations J. Differential Equations Vol. 258, N. 2, p. 362378, 2015 A. Davini, A. Fathi, R. Iturriaga, M. Zavidovique: Convergence of the solutions of the discounted equation Invent. Math. Vol. 206, N. 1, p. 2955, 2016 A. Davini, A. Siconolfi: Existence and regularity of strict critical subsolutions in the stationary ergodic setting Ann. Inst. H. Poincaré C Anal. Non Linéaire Vol. 33, N. 2, p. 243272, 2016 A. Davini, A. Fathi, R. Iturriaga, M. Zavidovique: Convergence of the solutions of the discounted equation: the discrete case Math. Z. Vol. 284, N. 3-4, p. 10211034, 2016 A. Davini, E. Kosygina: Homogenization of viscous and non-viscous HJ equations: a remark and an application Calc. Var. Partial Differential Equations Vol. 56, N. 4, 2017 A. Davini, A. Siconolfi, M. Zavidovique: Random Lax-Oleinik semigroups for Hamilton-Jacobi systems J. Math. Pures Appl. Vol. 9, N. 120, p. 294333, 2018 A. Davini: Existence and uniqueness of solutions to parabolic equations with superlinear Hamiltonians Commun. Contemp. Math. Vol. 21, N. 1, 2019 A. Davini, H. Ishii, R. Iturriaga, H. Sanchez Morgado: Discrete approximation of the viscous HJ equation Stoch. Partial Differ. Equ. Anal. Comput. Vol. 9, N. 4, p. 10811104, 2021 A. Davini, L. Wang: On the vanishing discount problem from the negative direction Discrete Contin. Dyn. Syst. Vol. 41, N. 5, p. 23772389, 2021 A. Davini, M. Zavidovique: Convergence of the solutions of discounted Hamilton--Jacobi systems Adv. Calc. Var. Vol. 14, N. 2, p. 193206, 2021 A. Davini, E. Kosygina: Stochastic homogenization of a class of nonconvex viscous HJ equations in one space dimension J. Differential Equations Vol. 333, p. 231267, 2022 I. Capuzzo Dolcetta, A. Davini: On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case Comm. Partial Differential Equations Vol. 48, N. 4, p. 576622, 2023 A. Davini: Stochastic homogenization of quasiconvex degenerate viscous HJ equations in 1d (preprint) 2023 A. Davini, E. Kosygina, A. Yilmaz: Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension (Submitted Paper) 2023 A. Davini, J. L. P. Garmendia, R. Iturriaga, J. C. Pardo, H. Sanchez Morgado: Discrete approximation of stochastic Mather measures Proceedings of the American Mathematical Society 2023 A. Davini: Stochastic homogenization of nondegenerate viscous HJ equations in 1d (Submitted Paper) 2024 A. Davini: Stochastic homogenization of a class of quasiconvex and possibly degenerate viscous HJ equations in 1d J. Convex Anal. (Accepted Paper) 2024