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  • Research Article
  • Open Access

To a nonlocal generalization of the Dirichlet problem

Journal of Inequalities and Applications20062006:93858

  • Received: 20 August 2004
  • Accepted: 22 September 2004
  • Published:


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.


  • Weak Solution
  • Sobolev Space
  • Dirichlet Problem
  • Boundary Dirichlet Condition
  • Integral Condition


Authors’ Affiliations

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


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© Berikelashvili 2006

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