Coverart for item
The Resource Methods in nonlinear analysis, Kung-Ching Chang

Methods in nonlinear analysis, Kung-Ching Chang

Label
Methods in nonlinear analysis
Title
Methods in nonlinear analysis
Statement of responsibility
Kung-Ching Chang
Creator
Subject
Language
eng
Summary
Annotation
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Zhang, Gongqing
Dewey number
515/.7248
Illustrations
illustrations
Index
index present
LC call number
QA427
LC item number
.Z44 2005eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Springer monographs in mathematics
http://library.link/vocab/subjectName
  • Nonlinear theories
  • Nonlinear operators
  • Operator theory
  • MATHEMATICS
  • Nonlinear operators
  • Nonlinear theories
  • Operator theory
Summary expansion
This book contains the basic theories and methods with many interesting problems from PDE, ODE, differential geometry and mathematical physics as applications, and covers the necessary preparations to almost all important aspects in contemporary studies. There are five chapters: Linearizations, Fixed Point Theorems, Degree theory and applications, Minimizations, and Topological and Variational Methods. Each chapter is a very nice combination of abstract analysis, classical analysis and applied analysis. Chapter 1 emphasizes on the applications of the Implicit Function Theorem, including the continuation method, bifurcation theory, perturbation technique, gluing method and the transversality. Chapter 2 contains fixed point theorem obtained by compactness and convexity. All theorems are based on Ky Fan's inequality. Besides the basic theory and standard applications of the degree theory, the following topics are studied in Chapter 3: Positive solutions for semilinear elliptic BVP, Multiple solutions problems, Bifurcation at infinity etc. Chapters 4 and 5 consist of an overall view of modern calculus of variations: Direct Method (constraint problem, Legendre transformation, quasi-convexity and Morrey Theorem, Young measure, relaxing method, BV space, Hardy space and compensation compactness, concentration compactness and best constants, and the segmentation in the image processing), Infinite dimensional Morse theory, Minimax Principles and the Conley theory on metric spaces
Label
Methods in nonlinear analysis, Kung-Ching Chang
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 425-439) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Linearization -- Fixed-point theorems -- Degree theory and applications -- Minimization methods -- Topological and variational methods
Control code
209865402
Dimensions
unknown
Extent
1 online resource (ix, 439 pages)
Form of item
online
Isbn
9783540241331
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-24133-1
Specific material designation
remote
System control number
(OCoLC)209865402
Label
Methods in nonlinear analysis, Kung-Ching Chang
Publication
Bibliography note
Includes bibliographical references (pages 425-439) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Linearization -- Fixed-point theorems -- Degree theory and applications -- Minimization methods -- Topological and variational methods
Control code
209865402
Dimensions
unknown
Extent
1 online resource (ix, 439 pages)
Form of item
online
Isbn
9783540241331
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-24133-1
Specific material designation
remote
System control number
(OCoLC)209865402

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