Representation of the Green's function of the classical Neumann problem for the Poisson
equation in the unit ball of arbitrary dimension is given. In constructing this function, we use …

The paper is devoted to investigation questions about constructing the explicit form of the
Green's function of the Robin problem in the unit ball of ℝ2. In constructing this function we …

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 …

REPRESENTATION OF THE GREEN’S FUNCTION OF THE EXTERIOR NEUMANN PROBLEM
FOR THE LAPLACE OPERATOR Page 1 Siberian Mathematical Journal, Vol. 58, No. 1, pp …

An explicit representation of the Green's function of the Dirichlet problem for the biharmonic
equation in the unit ball is given. Expansion of the constructed Green's function in the …

In this article we study a generalized third boundary-value problem for homogeneous
biharmonic equation in a unit ball with general boundary operators up to third order …

On Green’s function of the Robin problem for the Poisson equation Skip to content Should
you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …

∑ ∑ ∫ ∫ ∫= Construction of Polynomial Solutions to the Dirichlet Problem for the
Polyharmonic Equation in a Ball Page 1 ISSN 0965 5425, Computational Mathematics and …

This paper is concerned with the solvability of a boundary value problem for a
nonhomogeneous biharmonic equation. The boundary data is determined by a differential …

∂ S= fm− 1 (s), s∈∂ S, where ν is the outward normal to the unit sphere∂ S. Numerous
papers deal with this problem. Of recent publications, we note [2, 3], where a representation …