A generalization of Morse lemma and its applications

被引：7
作者：
Ming, J [1 ]
机构：
[1] Peking Univ, Sch Math, Dept Informat Sci, Beijing 100871, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 36卷 / 08期
关键词：
critical point; Morse lemma; critical group in different topologies; local minimizer in different spaces;
D O I：
10.1016/S0362-546X(97)00701-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem concerning harmonic mappings is addressed by using the Morse splitting lemma. As a first step, a generalization of Morse splitting lemma to the non-Hilbertian case is derived. Following the development of the generalization, a result on critical groups in different topologies similar to the results about semilinear elliptic equation and harmonic mapping is established. The results obtained are presented as Theorem 2.5, Corollaries 2.7 and 2.8. As applications, the semilinear elliptic equation, harmonic mappings, and the equation of constant mean curvature are presented.
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收藏
页码：943 / 960
页数：18
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