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Список литературы
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M. G. Crandall, H. Ishii, P.-L. Lions, “User's guide to viscosity solutions of second order partial differential equations”, Bull. Amer. Math. Soc. (N.S.), 27:1 (1992), 1–67  |
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H. Ishii, “On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDEs”, Comm. Pure Appl. Math., 42:1 (1989), 15–45  |
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R. Jensen, “The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations”, Arch. Rational Mech. Anal., 101:1 (1988), 1–27  |
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R. Jensen, “Uniformly elliptic PDEs with bounded, measurable coefficients”, J. Fourier Anal. Appl., 2:3 (1996), 237–259 |
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N. V. Krylov, “On weak uniqueness for some diffusions with discontinuous coefficients”, Stochastic Process. Appl., 113:1 (2004), 37–64 |
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N. S. Nadirashvili, “Certain differential properties of solutions of elliptic equations with measurable coefficients”, Izv. Akad. Nauk SSSR Ser. Mat., 49:6 (1985), 1329–1335, 1344 (Russian)  ; English translation: Math. USSR-Izv., 27 (1986), 601–606 |
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N. Nadirashvili, “Nonuniqueness in the martingale problem and the Dirichlet problem for uniformly elliptic operators”, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 24:3 (1997), 537–549 |
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N. Nadirashvili, S. Vlăduţ, “Nonclassical solutions of fully nonlinear elliptic equations”, Geom. Funct. Anal., 17:4 (2007), 1283–1296 |
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M. V. Safonov, “Nonuniqueness for second-order elliptic equations with measurable coefficients”, SIAM J. Math. Anal., 30:4 (1999), 879–895 |
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M. V. Safonov, Private communication |
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N. S. Trudinger, “On the twice differentiability of viscosity solutions of nonlinear elliptic equations”, Bull. Austral. Math. Soc., 39:3 (1989), 443–447 |
| 15. |
N. S. Trudinger, “Weak solutions of Hessian equations”, Comm. Partial Differential Equations, 22:7–8 (1997), 1251–1261 |
