| 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. |
