On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball: Doc 428

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, p.1
Main Authors: Turmetov, Batirkhan K, Ashurov, Ravshan R
Format: Article
Language:English
Subjects:
Boundary value problems
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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.[PUBLICATION ABSTRACT]
ISSN:1687-2762
1687-2770
DOI:10.1186/1687-2770-2013-162