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 …

We show the existence and multiplicity of concentrating solutions to a pure Neumann slightly
supercritical problem in a ball. This is the first existence result for this kind of problem in the …

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 …

. The coupling mechanisms within the Lane-Emden system differ significantly between these
two cases, resulting in notable variations in solution behaviors. This distinction also leads to …

We consider the following slightly supercritical problem for the Lane-Emden system with
Neumann boundary conditions:\begin {equation*}\begin {cases}-\Delta u_1 …

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 …