Green's function of the Dirichlet-2 problem for the 3-harmonic equation in a ball
Green's function of the Dirichlet-2 problem for the 3-harmonic equation in a ball
(Russian, English abstract)
Siberian Electronic Mathematical Reports, 22, 1, pp. 776-799 (2025)
Abstract:
The Green's function for some boundary value problem for the 3-harmonic equation in the unit ball is constructed and an integral representation of the solution of this problem is given.
Keywords: 3-harmonic equation, Green's function, Dirichlet-2 problem, integral representation.