The Neumann Problem for a Multidimensional Elliptic Equation with Several Singular Coefficients in an Infinite Domain

In this article the Neumann problem for a multidimensional elliptic equation with several singular coefficients in the infinite domain is studied. Using the method of the integral energy, the uniqueness of solution is proved. In proof of existence of the explicit solution of the Neumann problem a di...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics Vol. 43; no. 1; pp. 199 - 206
Main Authors: Ergashev, T. G., Tulakova, Z. R.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.01.2022
Springer Nature B.V
Subjects:
Algebra
Analysis
Domains
Geometry
Hypergeometric functions
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Neumann problem
Probability Theory and Stochastic Processes
Neumann problem
Lauricella hypergeometric function of many variables
adjacent and limiting relations
multidimensional elliptic equations with several singular coefficients
multidimensional improper integrals
ISSN:1995-0802, 1818-9962
Online Access:Get full text
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Summary:In this article the Neumann problem for a multidimensional elliptic equation with several singular coefficients in the infinite domain is studied. Using the method of the integral energy, the uniqueness of solution is proved. In proof of existence of the explicit solution of the Neumann problem a differentiation formula, some adjacent and limiting relations for the Lauricella hypergeometric functions and the values of some multidimensional improper integrals are used.
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ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222040102