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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, 3-harmonic, 5-harmonic equations.
Received: 2013-04-08
Revised: 2013-07-23
Accepted: 2013-07-23
Published Online: 2013-08-20
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston
