Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order

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1. Convex Function and Some Properties of Convex Functions, Lenigrad University Annals (Mathematical Series), Vol. 37, 1939, pp. 3-35 (In Russian). 
2. [2] H. Ishii, On Existence and Uniqueness of Viscosity Solutions of Fully Nonlinear Second-Order Elliptic PDE's, to appear in Comm. Pure Appl. Math.Annales de l'Institut Henri Poincaré - Analyse non linéaire Zbl0645.35025MR973743
3. [3] H. Ishii, and P.-L. Lions, Viscosity Solutions of Fully Nonlinear Second-Order Elliptic Partial Differential Equations, to appear in J. Diff. Equa. Zbl0708.35031
4. [4] R. Jensen, The Maximum Principle for Viscosity Solutions of Fully Nonlinear Second Order Partial Differential Equations, Arch. Rat. Mech. Anal., 101, 1988, pp. 1-27. Zbl0708.35019MR920674
5. [5] R. Jensen, Uniqueness Criteria for Viscosity Solutions of Fully Nonlinear EllipticPartial Differential Equations, preprint. Zbl0838.35037MR1017328
6. [6] R. Jensen, P.-L. Lions and P.E. Souganidis, A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations, Proc. A.M.S., 102, 1988, pp. 975-978. Zbl0662.35048MR934877
7. [7] P.-L. Lions, and P.E. Souganidis, Viscosity Solutions of Second-Order Equations, Stochastic Control and Stochastic Differential Games, Proceedings of Workshop on Stochastic Control and PDE's, I.M.A., University of Minnesota, June 1986. Zbl0825.49042
8. [8] N.S. Trudinger, Comparison Principles and Pointwise Estimates for Viscosity Solutions of Nonlinear Elliptic Equations, preprint. Zbl0695.35007MR1048584