On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems

被引：2
|
作者：
Zhang, ZT [1 ]
机构：
[1] Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 58卷 / 5-6期
基金：
中国国家自然科学基金;
关键词：
bifurcation; critical points; critical groups; sign-changing solutions;
D O I：
10.1016/j.na.2003.09.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use a bifurcation approach, Morse theory to study asymptotically linear and superlinear elliptic boundary value problems, and obtain new results on the exact multiplicity of solutions and sign-changing solutions to asymptotically linear and superlinear problems and the properties of the solutions. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：535 / 546
页数：12
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