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To a nonlocal generalization of the Dirichlet problem

Journal of Inequalities and Applications volume 2006, Article number: 93858 (2006) Cite this article

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 and Affiliations

  1. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1 M. Aleksidze Street, Caucasus 0193, Tbilisi, Georgia, USA

    Givi Berikelashvili

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  1. Givi Berikelashvili
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Correspondence to Givi Berikelashvili.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Berikelashvili, G. To a nonlocal generalization of the Dirichlet problem. J Inequal Appl 2006, 93858 (2006). https://doi.org/10.1155/JIA/2006/93858

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