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To a nonlocal generalization of the Dirichlet problem
Journal of Inequalities and Applications volume 2006, Article number: 93858 (2006)
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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Berikelashvili, G. To a nonlocal generalization of the Dirichlet problem. J Inequal Appl 2006, 93858 (2006). https://doi.org/10.1155/JIA/2006/93858
- Weak Solution
- Sobolev Space
- Dirichlet Problem
- Boundary Dirichlet Condition
- Integral Condition