On the solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball

Subject Local and nonlocal boundary value problems for partial differential equations
Title On the solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball
Author(s) Кошанов Б.Д.
Keywords Polyharmonic equation, regular solution, Dirichlet problems, solvability of boundary value problems
Abstract In this paper we find necessary and sufficient conditions for the solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball. We construct the explicit Green function of the Dirichlet problem for the polyharmonic equation in a ball. In particular, we find conditions for the solvability of Neumann problems for the biharmonic and 3-harmonic equations.