EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*, Communications in Partial Differential Equations, vol.26, issue.11-12, pp.2323-2337, 2001. ,
DOI : 10.1081/PDE-100107824
Local <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>C</mml:mi><mml:mrow><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi>??</mml:mi></mml:mrow></mml:msup></mml:math> estimates for viscosity solutions of Neumann-type boundary value problems, Journal of Differential Equations, vol.225, issue.1, pp.202-241, 2006. ,
DOI : 10.1016/j.jde.2005.09.004
Diffusions and elliptic operators, 1998. ,
Interior estimates for fully nonlinear elliptic equations, Ann. of Math, vol.130, p.189213, 1989. ,
Fully Nonlinear Elliptic Equations, 1995. ,
DOI : 10.1090/coll/043
On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients, Progress in elliptic and parabolic partial differential equations (Capri, pp.136-162, 1994. ,
Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited, Journal of the Mathematical Society of Japan, vol.39, issue.4, pp.581-596, 1987. ,
DOI : 10.2969/jmsj/03940581
Estimates of the solutions of a system of quasilinear PDEs. A probabilistic scheme, pp.290-332 ,
Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur, vol.3, pp.25-43, 1957. ,
Current issues on singular and degenerate evolution equations. Evolutionary equations, Handb. Differ. Equ, vol.I, pp.169-286, 2004. ,
Elliptic partial differential equations of second order, 1983. ,
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
Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations, Electron. J. Differential Equations, vol.39, issue.10, p.pp, 2002. ,
A representation formula and regularizing properties for viscosity solutions of second-order fully nonlinear degenerate parabolic equations, Nonlinear Analysis: Theory, Methods & Applications, vol.24, issue.2, pp.147-158, 1995. ,
DOI : 10.1016/0362-546X(94)00170-M
Controlled diffusion processes. Translated from the Russian by A. B. Aries, 1980. ,
An estimate for the probability of a diffusion process hitting a set of positive measure, Dokl. Akad. Nauk SSSR, vol.245, pp.18-20, 1979. ,
A property of the solutions of parabolic equations with measurable coefficients. (Russian) Izv. Akad, Nauk SSSR Ser. Mat, pp.44-161, 1980. ,
Linear and quasilinear equations of parabolic type, 1967. ,
Estimate of the Hlder norm of solutions of second-order elliptic equations of general form. Boundary value problems of mathematical physics and related questions in the theory of functions, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), vol.12, issue.309, pp.96-161, 1980. ,
A remark on regularization in Hilbert spaces, Israel Journal of Mathematics, vol.92, issue.134, pp.257-266, 1986. ,
DOI : 10.1007/BF02765025
Continuity of Solutions of Parabolic and Elliptic Equations, American Journal of Mathematics, vol.80, issue.4, pp.931-954, 1958. ,
DOI : 10.2307/2372841
Backward stochastic differential equations and quasilinear parabolic partial differential equations, Lecture Notes in Control and Inform. Sci, vol.176, pp.200-217, 1991. ,
DOI : 10.1007/BFb0007334
The maximum principle, Progress in Nonlinear Differential Equations and their Applications, 2007. ,
Local behavior of solutions of quasi-linear equations, Acta Mathematica, vol.111, issue.0, pp.247-302, 1964. ,
DOI : 10.1007/BF02391014
Multidimensional diffusion processes, 1979. ,
DOI : 10.1007/3-540-28999-2