ON SOME NECESSARY SOLVABILITY CONDITIONS OF THE NEUMAN TYPE PROBLEMS FOR POLYHARMONIC EQUATION
In this article, the solvability conditions of a class of Neumann type problems for the homogeneous polyharmonic equation in the unit ball are investigated. A set of necessary conditions for solvability of the considered problems is obtained. The found conditions are the orthogonality conditions between homogeneous harmonic polynomials of the certain degrees and the linear combinations of boundary functions with coefficients from the integer Neumann triangle.