Articles

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

  • Shi Ping ,
  • Ma Jipu
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  • Department of Mathematics, Nanjing University, Nanjing 210093, China
    Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China

Received date: 2003-04-21

  Revised date: 1900-01-01

  Online published: 2006-01-20

Abstract

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(06)60032-5

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