The Exterior Dirichlet Problem for the Biharmonic Equation: Solutions with Bounded Dirichlet Integral

被引：0
作者：
O. A. Matevosyan
机构：
[1] M. V. Lomonosov Moscow State University,
来源：
Mathematical Notes | 2001年 / 70卷
关键词：
biharmonic equation; exterior Dirichlet problem; Sobolev space; finite-energy solution; Dirichlet integral;
D O I：
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学科分类号：
摘要：
We study the unique solvability of the Dirichlet problem for the biharmonic equation in the exterior of a compact set under the assumption that a generalized solution of this problem has a bounded Dirichlet integral with weight |x|a. Depending on the value of the parameter a,a we prove uniqueness theorems or present exact formulas for the dimension of the solution space of the Dirichlet problem.
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页码：363 / 377
页数：14
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