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Construction of a priori bounds for convex solutions of the Monge-Ampere equation by integral methods

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. A. V. Pogorelov, Multidimensional Minkowsky Problem [in Russian], Nauka, Moscow (1975).

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  2. O. A. Ladyzhenskaya and N. N. Uraltseva, Linear and Quasilinear Elliptic Equations, Academic Press (1968).

  3. L. Nirenberg, “On nonlinear elliptic partial differential equations and Hölder continuity,” Comm. Pure Appl. Math.,6, 103–156 (1953).

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Authors and Affiliations

  1. Leningrad Construction-Engineering Institute, USSR

    N. M. Ivochkina

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  1. N. M. Ivochkina
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 30, No. 1, pp. 45–53, January–February, 1978.

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Ivochkina, N.M. Construction of a priori bounds for convex solutions of the Monge-Ampere equation by integral methods. Ukr Math J 30, 32–38 (1978). https://doi.org/10.1007/BF01130627

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  • DOI: https://doi.org/10.1007/BF01130627

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