Dirichlet type problem for the system of elliptic equations, which order degenerate at a line

被引：2

作者：

Rutkauskas, Stasys ^{[1
]}

机构：

[1] Vilnius Univ, Inst Math & Informat, LT-08663 Vilnius, Lithuania

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2014年 / 19卷 / 03期

关键词：

systems of elliptic equations; degenerating elliptic systems; Dirichlet type problem; ASYMPTOTIC CONDITIONS; POINT;

D O I：

10.15388/NA.2014.3.11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Dirichlet type problem in a bounded domain for the system of linear elliptic equations of second order, which degenerate into first order system at a line crossing the domain, is studied. The existence and uniqueness of a solution of this problem in the Holder class of functions are proved without any additional condition at line of degeneracy. The only requirement is that the solution is bounded in the considered domain.

引用

页码：476 / 487

页数：12

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