Topics in Nonlinear Functional Analysis by Louis Nirenberg

Topics in Nonlinear Functional Analysis



Download Topics in Nonlinear Functional Analysis



Topics in Nonlinear Functional Analysis Louis Nirenberg ebook
Publisher: American Mathematical Society
Page: 145
ISBN: 9780821828199


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's global bifurcation ...

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