On a nonlocal generalization of the biharmonic Dirichlet problem

被引：0

作者：

G. K. Berikelashvili

D. G. Gordeziani

机构：

[1] Razmadze Mathematical Institute,Vekua Institute of Applied Mathematics

[2] Tbilisi State University,undefined

来源：

Differential Equations | 2010年 / 46卷

关键词：

Dirichlet Problem; Dirichlet Boundary Condition; Integral Condition; Mixed Problem; Nonlocal Boundary;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：321 / 328

页数：7

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