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Green’s Functions of the Navier and Riquier–Neumann Problems for the Biharmonic Equation in the Ball

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Abstract

Green’s functions for the Navier and Riquier–Neumann problems for the biharmonic equation in the unit ball are constructed, and integral representations of the solution of these problems are given.

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Funding

This work was supported by the Government of the Russian Federation, Resolution no. 211 of March 16, 2013, Agreement no. 02.A03.21.0011.

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Correspondence to V. V. Karachik.

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Translated by V. Potapchouck

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Karachik, V.V. Green’s Functions of the Navier and Riquier–Neumann Problems for the Biharmonic Equation in the Ball. Diff Equat 57, 654–668 (2021). https://doi.org/10.1134/S0012266121050098

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  • DOI: https://doi.org/10.1134/S0012266121050098

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