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On the Dirichlet–Riquier problem for biharmonic equations

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Abstract

The existence of a solution of the Dirichlet–Riquier problem for a homogeneous biharmonic equation in the unit ball with boundary operators up to third order containing normal derivatives and the Laplacian is studied. Existence theorems for the solutions of the problem are proved.

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Authors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    V. V. Karachik

  2. Institute of Mathematics and Mathematical Modeling, MON RK, Almaty, Kazakhstan

    B. T. Torebek

Authors
  1. V. V. Karachik
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  2. B. T. Torebek
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Correspondence to V. V. Karachik.

Additional information

Original Russian Text © V. V. Karachik, B. T. Torebek, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 1, pp. 39–51.

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Karachik, V.V., Torebek, B.T. On the Dirichlet–Riquier problem for biharmonic equations. Math Notes 102, 31–42 (2017). https://doi.org/10.1134/S0001434617070045

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  • DOI: https://doi.org/10.1134/S0001434617070045

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