On a nonlocal generalization of the biharmonic Dirichlet problem
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- Berikelashvili, G.K. & Gordeziani, D.G. Diff Equat (2010) 46: 321. doi:10.1134/S001226611003002X
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We consider a mixed problem with the Dirichlet boundary conditions and integral conditions for the biharmonic equation. We prove the existence and uniqueness of a generalized solution in the weighted Sobolev space W22. We show that the problem can be viewed as a generalization of the Dirichlet problem.