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Journal of Inequalities and Applications
Published in: Journal of Inequalities and Applications 1/2006

Open Access 01-12-2006 | Research Article

To a nonlocal generalization of the Dirichlet problem

Author: Givi Berikelashvili

Published in: Journal of Inequalities and Applications | Issue 1/2006

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Abstract

A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are proved in a weighted Sobolev space.
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Metadata
Title
To a nonlocal generalization of the Dirichlet problem
Author
Givi Berikelashvili
Publication date
01-12-2006
Publisher
Springer International Publishing
Published in
Journal of Inequalities and Applications / Issue 1/2006
Electronic ISSN: 1029-242X
DOI
https://doi.org/10.1155/JIA/2006/93858

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