A rank theorem for nonlinear semi-Fredholm operators between two Banach manifolds

被引：1
|
作者：
Shi, P [1 ]
Ma, JP
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210003, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2006年 / 26卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Banach manifold; nonlinear semi-Fredholm operators; local conjugation; rank theorem;
D O I：
10.1016/S0252-9602(06)60032-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article the concept of local conjugation of a C-1 mapping between two Banach manifolds is introduced. Then a rank theorem for nonlinear semi-Fredholm operators between two Banach manifolds and a finite rank theorem are established in global analysis.
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页码：107 / 114
页数：8
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