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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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摘要 In this article thc concept of local conjugation of a C^1 mapping between two Banach manifolds is introduced. Thcn a rank theorem for nonlinear scmi-Fredholm operators between two Banach manifolds and a finite rank theorem are established in global analysis. In this article thc concept of local conjugation of a C^1 mapping between two Banach manifolds is introduced. Thcn a rank theorem for nonlinear scmi-Fredholm operators between two Banach manifolds and a finite rank theorem are established in global analysis.
作者 史平 马吉溥
出处 《Acta Mathematica Scientia》 SCIE CSCD 2006年第1期107-114,共8页 数学物理学报(B辑英文版)
基金 This research was supported by the National Natural Science Foundation of China (10271053)the Doctoral Programme Foundation of the Ministry of Education of China
关键词 Banach manifold nonlinear semi-Fredholm operators local conjugation rank theorem Banach manifold, nonlinear semi-Fredholm operators, local conjugation,rank theorem
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