On the Dirichlet-type problem for elliptic systems degenerate at a line

被引：0

作者：

Rutkauskas, S. ^{[1
]}

机构：

[1] Vilnius Univ, Inst Math & Informat, Vilnius, Lithuania

来源：

MATHEMATICAL NOTES | 2016年 / 100卷 / 1-2期

关键词：

elliptic systems; degeneracy; Dirichlet problem; asymptotic of solutions; ASYMPTOTIC CONDITIONS; EQUATIONS; POINT;

D O I：

10.1134/S0001434616070221

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the Dirichlet-type problem for the system of elliptic equations of second order with the degeneracy at a line crossing the domain is considered. The Dirichlet-type problem with additionally given asymptotics of the solution at this line is discussed. The uniqueness and the existence of the solution of this problem in the class of Holder functions is proved.

引用

页码：276 / 283

页数：8

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