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A Liouville theorem for solutions of the Monge–Ampère equation with periodic data. Annales de l'institut Henri Poincaré (C) Analyse non linéaire, 21 no. 1 (2004), p. 97-120
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[1] Caffarelli L., A localization property of viscosity solutions to the Monge–Ampère equation and their strict convexity, Ann. of Math. 13 (1990) 129-134. MR 1038359 | Zbl 0704.35045 [2] Caffarelli L., Interior W2,p estimates for solutions of the Monge–Ampère equation, Ann. of Math. 131 (1990) 135-150. MR 1038360 | Zbl 0704.35044 [3] Caffarelli L., Graduate Course at the Courant Institute, New York University, New York, 1995. [4] Caffarelli L., Monotonicity properties of optimal transportation and the FKG and related inequalities, Comm. Math. Phys. 214 (2000) 547-563. MR 1800860 | Zbl 0978.60107 [5] Caffarelli L., Cabre X., Fully Nonlinear Elliptic Equations, American Mathematical Society Colloquium Publications, vol. 43, American Mathematical Society, Providence, RI, 1995. MR 1351007 | Zbl 0834.35002 [6] Caffarelli L., Gutiérrez C., Properties of the solutions of the linearized Monge–Ampère equation, Amer. J. Math. 119 (1997) 423-465. MR 1439555 | Zbl 0878.35039 [7] Caffarelli L., Li Y.Y., An extension to a theorem of Jörgens, Calabi, and Pogorelov, Comm. Pure Appl. Math. 56 (2003) 549-583. MR 1953651 | Zbl 01981600 [8] Caffarelli L., Nirenberg L., Spruck J., The Dirichlet problem for nonlinear second-order elliptic equations, I. Monge–Ampère equation, Comm. Pure Appl. Math. 37 (1984) 369-402. MR 739925 | Zbl 0598.35047 [9] Caffarelli L., Viaclovsky J., On the regularity of solutions to Monge–Ampère equations on Hessian manifolds, Comm. Partial Differential Equations 26 (2001) 2339-2351. MR 1876421 | Zbl 0990.35029 [10] Calabi E., Improper affine hypersurfaces of convex type and a generalization of a theorem by K. Jörgens, Michigan Math. J. 5 (1958).
Article | MR 106487 | Zbl 0113.30104 [11] Cheng S.Y., Yau S.T., The real Monge–Ampère equation and affine flat structures, in: Proceedings of the Symposium on Differential Geometry and Differential Equations, vols. 1–3, Beijing, 1980, Science Press, Beijing, 1982, pp. 339-370. MR 714338 | Zbl 0517.35020 [12] Cheng S.Y., Yau S.T., Complete affine hypersurfaces. I. The completeness of affine metrics, Comm. Pure Appl. Math. 39 (1986) 839-866. MR 859275 | Zbl 0623.53002 [13] Chou K.-S., Wang X.-J., A variational theory of the Hessian equation, Comm. Pure Appl. Math. 54 (2001) 1029-1064. MR 1835381 | Zbl 1035.35037 [14] De Guzman M., Differentiation of Integrals in Rn, Lecture Notes, vol. 481, Springer-Verlag, Berlin, 1976. Zbl 0327.26010 [15] Evans L.C., Classical solutions of fully nonlinear, convex, second-order elliptic equations, Comm. Pure Appl. Math. 35 (1982) 333-363. MR 649348 | Zbl 0469.35022 [16] Gilbarg D., Trudinger N., Elliptic Partial Differential Equations of Second Order, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 224, Springer-Verlag, Berlin, 1983. MR 737190 | Zbl 0562.35001 [17] Jörgens K., Über die Lösungen der Differentialgleichung rt−s2=1, Math. Ann. 127 (1954) 130-134. [18] Krylov N.V., Boundedly inhomogeneous elliptic and parabolic equation in a domain, Izv. Akad. Nauk SSSR 47 (1983) 75-108. MR 688919 | Zbl 0578.35024 [19] Krylov N.V., Safonov M.V., An estimate of the probability that a diffusion process hits a set of positive measure, Dokl. Akad. Nauk. SSSR 245 (1979) 253-255, English translation in:
, Soviet Math. Dokl. 20 (1979) 253-255. MR 525227 | Zbl 0459.60067 [20] Li Y.Y., Some existence results of fully nonlinear elliptic equations of Monge–Ampère type, Comm. Pure Appl. Math. 43 (1990) 233-271. MR 1038143 | Zbl 0705.35038 [21] Pogorelov A.V., On the improper affine hypersurfaces, Geom. Dedicata 1 (1972) 33-46. MR 319126 | Zbl 0251.53005 [22] Trudinger N., Wang X., The Bernstein problem for affine maximal hypersurfaces, Invent. Math. 140 (2000) 399-422. MR 1757001 | Zbl 0978.53021
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