Open Access

To a nonlocal generalization of the Dirichlet problem

Journal of Inequalities and Applications20062006:93858

https://doi.org/10.1155/JIA/2006/93858

Received: 20 August 2004

Accepted: 22 September 2004

Published: 23 January 2006

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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Authors’ Affiliations

(1)
A. Razmadze Mathematical Institute, Georgian Academy of Sciences

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Copyright

© Berikelashvili 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.