The Resource Methods in nonlinear analysis, Kung-Ching Chang
Methods in nonlinear analysis, Kung-Ching Chang
Resource Information
The item Methods in nonlinear analysis, Kung-Ching Chang represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Methods in nonlinear analysis, Kung-Ching Chang represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Extent
- 1 online resource (ix, 439 pages)
- Contents
-
- Linearization
- Fixed-point theorems
- Degree theory and applications
- Minimization methods
- Topological and variational methods
- Isbn
- 9783540241331
- Label
- Methods in nonlinear analysis
- Title
- Methods in nonlinear analysis
- Statement of responsibility
- Kung-Ching Chang
- Language
- eng
- Summary
- Annotation
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Methods-in-nonlinear-analysis-Kung-Ching/DnDJ9v_TWCw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Methods-in-nonlinear-analysis-Kung-Ching/DnDJ9v_TWCw/">Methods in nonlinear analysis, Kung-Ching Chang</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
