On the mean value property for polyharmonic functions in the ball |
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Authors: | V. V. Karachik |
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Affiliation: | 1. South Ural State University, Chelyabinsk, 454080, Russia
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Abstract: | We obtain the mean value property for the normal derivatives of a polyharmonic function with respect to the unit sphere. We find the values of a polyharmonic function and its Laplacians at the center of the unit ball expressed via the integrals of the normal derivatives of this function over the unit sphere. |
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