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On the classical solvability of the Dirichlet problem for nondegenerate m-Hessian equations

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We study the classical solvability of m-Hessian equations. We give a complete proof of the existence of a classical solution under minimal assumptions on the data of the Dirichlet problem and systematize methods for studying fully nonlinear Hessian equations. Bibliography: 18 titles.

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  1. St. Petersburg State University of Architecture and Civil Engineering, 2-nd Krasnoarmeiskaia St. 4, St. Petersburg, 190005, Russia

    N. V. Filimonenkova

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Translated from Problems in Mathematical Analysis 60, September 2011, pp. 89–110.

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Filimonenkova, N.V. On the classical solvability of the Dirichlet problem for nondegenerate m-Hessian equations. J Math Sci 178, 666–694 (2011). https://doi.org/10.1007/s10958-011-0577-2

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