For Neumann type problems for the homogeneous polyharmonic equation in the unit ball we obtain necessary solvability conditions in the form of orthogonality of homogeneous harmonic polynomials to linear combinations of boundary functions with coefficients taken from the integer Neumann triangle. Bibliography: 18 titles.
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Translated from Problemy Matematicheskogo Analiza 103, 2020, pp. 143-154.
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Karachik, V.V. Neumann Type Problems for the Polyharmonic Equation in Ball. J Math Sci 249, 974–988 (2020). https://doi.org/10.1007/s10958-020-04989-6
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DOI: https://doi.org/10.1007/s10958-020-04989-6