Riquier–Neumann Problem for the Polyharmonic Equation in a Ball

Abstract

The Green’s function of the Riquier–Neumann problem for the polyharmonic equation in the unit ball is constructed. Using the obtained Green’s function, an integral representation of the solution to the Riquier–Neumann problem in the unit ball is found.

Keywords

• Riquier–Neumann problem
• polyharmonic equation
• Green’s function