Topics in Nonlinear Functional Analysis

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  • Topics in Nonlinear Functional Analysis Book Detail

  • Author : L. Nirenberg
  • Release Date : 2001
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 159
  • ISBN 13 : 0821828193
  • File Size : 26,26 MB

Topics in Nonlinear Functional Analysis by L. Nirenberg PDF Summary

Book Description: Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz global bifurcation theorem. Stability of the branches is also studied. The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems. For more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

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Topics in Nonlinear Functional Analysis

Topics in Nonlinear Functional Analysis

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Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonl

Topics in Nonlinear Analysis & Applications

Topics in Nonlinear Analysis & Applications

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This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to