Solvability of the main boundary value problems for the nonlocal Poisson equation is
studied. Existence and uniqueness theorems for the considered problems are obtained. The …

In the previous author's works, a representation of the solution of the Dirichlet boundary
value problem for the biharmonic equation in terms of Green's function is found, and then it …

We introduce the notion of an elementary solution to the polyharmonic equation and study
its properties. We derive the integral representation for functions in a bounded domain with …

Green’s Functions of the Navier and Riquier–Neumann Problems for the Biharmonic Equation
in the Ball | Differential Equations Skip to main content SpringerLink Account Menu Find a …

The Green Function of the Dirichlet Problem for the Triharmonic Equation in the Ball Page 1
ISSN 0001-4346, Mathematical Notes, 2020, Vol. 107, No. 1, pp. 105–120. © Pleiades …

An elementary solution of the biharmonic equation is defined. By using the properties of the
Gegenbauer polynomials, series expansions of this elementary solution and an associated …

Определяется элементарное решение бигармонического уравнения. С помощью
свойств многочленов Гегенбауэра получено разложение этого элементарного решения …

In this paper the Green's functions for three boundary value problems for the biharmonic
equation are investigated. First, an integral representation of solutions to the …

Green’s Function of the Riquier–Neumann Problem for the Polyharmonic Equation in the Unit Ball
| Computational Mathematics and Mathematical Physics Skip to main content SpringerLink …

We define the elementary solution of the polyharmonic equation, with the help of which an
explicit representation of the Green's function of the Dirichlet problem for the polyharmonic …