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Riquier–Neumann Problem for the Polyharmonic Equation in a Ball

Author

Listed:
  • Valery Karachik

    (Department of Mathematical Analysis and Methods of Teaching Mathematics, South Ural State University, 454080 Chelyabinsk, Russia)

Abstract

The Green’s function of the Riquier–Neumann problem for the polyharmonic equation in the unit ball is constructed. Using the obtained Green’s function, an integral representation of the solution to the Riquier–Neumann problem in the unit ball is found.

Suggested Citation

  • Valery Karachik, 2023. "Riquier–Neumann Problem for the Polyharmonic Equation in a Ball," Mathematics, MDPI, vol. 11(4), pages 1-21, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:1000-:d:1069971
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    References listed on IDEAS

    as
    1. Valery Karachik & Batirkhan Turmetov & Hongfen Yuan, 2022. "Four Boundary Value Problems for a Nonlocal Biharmonic Equation in the Unit Ball," Mathematics, MDPI, vol. 10(7), pages 1-21, April.
    2. M. Akel & H. Begehr, 2017. "Neumann function for a hyperbolic strip and a class of related plane domains," Mathematische Nachrichten, Wiley Blackwell, vol. 290(4), pages 490-506, March.
    3. Valery Karachik, 2021. "Dirichlet and Neumann Boundary Value Problems for the Polyharmonic Equation in the Unit Ball," Mathematics, MDPI, vol. 9(16), pages 1-19, August.
    Full references (including those not matched with items on IDEAS)

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