Singular perturbation elliptic boundary-value problems in the case of a nonisolated root of the degenerate equation

被引:0
作者
Butuzov, VF [1 ]
Terent'ev, MA [1 ]
机构
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
基金
俄罗斯基础研究基金会;
关键词
singularly perturbed elliptic equation; Neumann boundary-value problem; Laplace operator; differential inequality; nonisolated root;
D O I
10.1007/s11006-005-0095-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For a singularly perturbed elliptic equation (the Neumann boundary-value problem), we prove a theorem on the passage to the limit for the case in which the degenerate equation has a nonisolated root.
引用
收藏
页码:23 / 32
页数:10
相关论文
共 4 条
[1]  
Besov O.V., 1996, Integral Representations of Functions and Embedding Theorems
[2]   Singularly perturbed elliptic problems in the case of exchange of stabilities [J].
Butuzov, VF ;
Nefedov, NN ;
Schneider, KR .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 169 (02) :373-395
[3]  
Pao C.V., 1992, NONLINEAR PARABOLIC, DOI DOI 10.1007/978-1-4615-3034-3
[4]  
Vasil'eva A. B., 1990, ASYMPTOTIC METHODS S