On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball

In this work the Neumann boundary value problem for a non-homogeneous polyharmonic equation is studied in a unit ball. Necessary and sufficient conditions for solvability of this problem are found. To do this we first reduce the Neumann problem to the Dirichlet problem for a different non-homogeneou...

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Bibliographic Details
Published in:Boundary value problems 2013-07, Vol.2013 (1), p.162-162, Article 162
Main Authors: Turmetov, Batirkhan K, Ashurov, Ravshan R
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Summary:In this work the Neumann boundary value problem for a non-homogeneous polyharmonic equation is studied in a unit ball. Necessary and sufficient conditions for solvability of this problem are found. To do this we first reduce the Neumann problem to the Dirichlet problem for a different non-homogeneous polyharmonic equation and then use the Green function of the Dirichlet problem. MSC: 35J40, 35J30, 35A01.
ISSN:1687-2770
1687-2770
DOI:10.1186/1687-2770-2013-162