A RANK THEOREM FOR NONLINEAR SEMI-FREDHOLM OPERATORS BETWEEN TWO BANACH MANIFOLDS

doi:10.1016/S0252-9602(06)60032-5

数学物理学报(英文版)

A RANK THEOREM FOR NONLINEAR SEMI-FREDHOLM OPERATORS BETWEEN TWO BANACH MANIFOLDS

史平; 马吉溥

南京大学数学系, 南京 2100093 南京财经大学应用数学系, 南京 210003

收稿日期:2003-04-21 修回日期:1900-01-01 出版日期:2006-01-20 发布日期:2006-01-20
通讯作者: 史平
基金资助:
This research was supported by the National Natural Science Foundation of China (10271053) and the Doctoral Programme Foundation of the Ministry
of Education of China.

A RANK THEOREM FOR NONLINEAR SEMI-FREDHOLM OPERATORS BETWEEN TWO BANACH MANIFOLDS

Shi Ping; Ma Jipu

Department of Mathematics, Nanjing University, Nanjing 210093, China
Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China

Received:2003-04-21 Revised:1900-01-01 Online:2006-01-20 Published:2006-01-20
Contact: Shi Ping

摘要/Abstract

摘要：

In this article the concept of local conjugation of a C¹ 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.

关键词: Banach manifold, nonlinear semi-Fredholm operators, local conjugation, rank theorem

Abstract:

Key words: Banach manifold, nonlinear semi-Fredholm operators, local conjugation, rank theorem

中图分类号:

47A53

史平; 马吉溥. A RANK THEOREM FOR NONLINEAR SEMI-FREDHOLM OPERATORS BETWEEN TWO BANACH MANIFOLDS[J]. 数学物理学报(英文版), 2006, 26(1): 107-114.

Shi Ping; Ma Jipu. A RANK THEOREM FOR NONLINEAR SEMI-FREDHOLM OPERATORS BETWEEN TWO BANACH MANIFOLDS[J]. Acta mathematica scientia,Series B, 2006, 26(1): 107-114.

A RANK THEOREM FOR NONLINEAR SEMI-FREDHOLM OPERATORS BETWEEN TWO BANACH MANIFOLDS

A RANK THEOREM FOR NONLINEAR SEMI-FREDHOLM OPERATORS BETWEEN TWO BANACH MANIFOLDS

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