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Topics In Nonlinear Functional Analysis


Topics In Nonlinear Functional Analysis
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Topics In Nonlinear Functional Analysis


Topics In Nonlinear Functional Analysis
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Author : L. Nirenberg
language : en
Publisher: American Mathematical Soc.
Release Date : 1974

Topics In Nonlinear Functional Analysis written by L. Nirenberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.


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.



Topics In Nonlinear Functional Analysis


Topics In Nonlinear Functional Analysis
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Author : Djairo Guedes de Figueiredo
language : en
Publisher:
Release Date : 1967

Topics In Nonlinear Functional Analysis written by Djairo Guedes de Figueiredo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Functional analysis categories.




Nonlinear Functional Analysis


Nonlinear Functional Analysis
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Author : Klaus Deimling
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Nonlinear Functional Analysis written by Klaus Deimling and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.


topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in § 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical language and way of thinking, one which is no doubt familiar from elementary lectures in analysis that did not worry much about its connections with algebra and topology. Of course we shall use some elementary topological concepts, which may be new, but in fact only a few remarks here and there pertain to algebraic or differential topological concepts and methods.



An Introduction To Nonlinear Functional Analysis And Elliptic Problems


An Introduction To Nonlinear Functional Analysis And Elliptic Problems
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Author : Antonio Ambrosetti
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-19

An Introduction To Nonlinear Functional Analysis And Elliptic Problems written by Antonio Ambrosetti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-19 with Mathematics categories.


This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.



Linear And Nonlinear Functional Analysis With Applications


Linear And Nonlinear Functional Analysis With Applications
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Author : Philippe G. Ciarlet
language : en
Publisher: SIAM
Release Date : 2013-10-10

Linear And Nonlinear Functional Analysis With Applications written by Philippe G. Ciarlet and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-10 with Mathematics categories.


This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.



Nonlinear Functional Analysis


Nonlinear Functional Analysis
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Author : Jacob T. Schwartz
language : en
Publisher: CRC Press
Release Date : 1969

Nonlinear Functional Analysis written by Jacob T. Schwartz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.




Some Topics In Nonlinear Functional Analysis


Some Topics In Nonlinear Functional Analysis
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Author : Mohan C. Joshi
language : en
Publisher:
Release Date : 1985

Some Topics In Nonlinear Functional Analysis written by Mohan C. Joshi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Nonlinear functional analysis categories.




Contributions To Nonlinear Functional Analysis


Contributions To Nonlinear Functional Analysis
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Author : Eduardo H. Zarantonello
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Contributions To Nonlinear Functional Analysis written by Eduardo H. Zarantonello and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear Functional Analysis, held in Madison, Wisconsin, on April 12-14, 1971, under the sponsorship of the University of Wisconsin's Mathematics Research Center. The symposium provided a forum for discussing various topics related to nonlinear functional analysis, from transversality in nonlinear eigenvalue problems to monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Comprised of 15 chapters, this book begins by presenting an extension of Leray-Schauder degree and an application to a nonlinear elliptic boundary value problem. The discussion then turns to the use of degree theory to prove the existence of global continua of solutions of nonlinear eigenvalue problems; transversality in nonlinear eigenvalue problems; and how variational structure can be used to study some local questions in bifurcation theory. Subsequent chapters deal with the notion of monotone operators and monotonicity theory; a nonlinear version of the Hille-Yosida theorem; a version of the penalty method for the Navier-Stokes equations; and various types of weak solutions for minimizing problems in the spirit of duality theory for convex functionals. This monograph will be of interest to students and practitioners in the field of mathematics who want to learn more about nonlinear functional analysis.



Nonlinear Functional Analysis


Nonlinear Functional Analysis
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Author : S. Kesavan
language : en
Publisher: Springer
Release Date : 2004-01-15

Nonlinear Functional Analysis written by S. Kesavan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-15 with Mathematics categories.