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Integral identities on a sphere for normal derivatives of polyharmonic functions. (Russian. English summary) Zbl 1383.31001
Summary: Identities for the integrals over the unit sphere of the products of linear combinations of normal derivatives of polyharmonic function in the unit ball and homogeneous harmonic polynomials are obtained. Basing on these identities the necessary conditions for the values on the unit sphere of polynomials on normal derivatives of polyharmonic functions are derived. Illustrative examples are given.

31B30 Biharmonic and polyharmonic equations and functions in higher dimensions
Full Text: DOI
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