On the Steklov-Type Biharmonic Problem in Unbounded Domains

被引：23
|
作者：
Matevossian, H. A. [1 ,2 ]
机构：
[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Vavilov Str 40, Moscow 119333, Russia
[2] Natl Res Univ, Moscow Aviat Inst, Volokolamskoe Shosse 4, Moscow 125993, Russia
来源：
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 25卷 / 02期
关键词：
BOUNDARY-VALUE-PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; ELLIPTIC-SYSTEMS; POLYHARMONIC EQUATION; EXTERIOR DOMAINS; INEQUALITIES; EIGENVALUES; SPACE;
D O I：
10.1134/S1061920818020115
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the unique solvability of the Steklov-type biharmonic problem in unbounded domains 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, we prove uniqueness theorems or present exact formulas for the dimension of the solution space of the Steklov-type biharmonic problem in the exterior of a compact set and in a half-space.
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页码：271 / 276
页数：6
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