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The Green Function of the Dirichlet Problem for the Triharmonic Equation in the Ball

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Abstract

An explicit representation of the Green function of the Dirichlet problem for the triharmonic equation in the unit ball of space of dimension greater than 2 is given.

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Funding

This work was supported by the Government of the Russian Federation (Decree no. 211 of March 16, 2013, grant no. 02. A03.21.0011).

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Authors and Affiliations

  1. South Ural State University, Chelyabinsk, 454080, Russia

    V. V. Karachik

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  1. V. V. Karachik
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Correspondence to V. V. Karachik.

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Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 1, pp. 87–105.

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Karachik, V.V. The Green Function of the Dirichlet Problem for the Triharmonic Equation in the Ball. Math Notes 107, 105–120 (2020). https://doi.org/10.1134/S0001434620010101

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