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Methods in Nonlinear Analysis (Springer Monographs in Mathematics) [Hardcover]

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Item description for Methods in Nonlinear Analysis (Springer Monographs in Mathematics) by Kung-Ching Chang & Gongqing Zhang...

Nonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches of mathematics have been combined in solving nonlinear problems. This book collects and reorganizes up-to-date materials scattered throughout the literature from the methodology point of view, and presents them in a systematic way. It contains the basic theories and methods with many interesting problems in partial and ordinary differential equations, differential geometry and mathematical physics as applications, and provides the necessary preparation for almost all important aspects in contemporary studies.

There are five chapters that cover linearization, fixed-point theorems based on compactness and convexity, topological degree theory, minimization and topological variational methods. Each chapter combines abstract, classical and applied analysis. Particular topics included are bifurcation, perturbation, gluing technique, transversality, Nash--Moser technique, Ky Fan's inequality and Nash equilibrium in game theory, setvalued mappings and differential equations with discontinuous nonlinear terms, multiple solutions in partial differential equations, direct method, quasiconvexity and relaxation, Young measure, compensation compactness method and Hardy space, concentration compactness and best constants, Ekeland variational principle, infinite-dimensional Morse theory, minimax method, index theory with group action, and Conley index theory.

All methods are illustrated by carefully chosen examples from mechanics, physics, engineering and geometry. The book aims to find a balance between theory and applications and will contribute to filling the gap between texts that either only study the abstract theory, or focus on some special equations.

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Item Specifications...

Pages   439
Est. Packaging Dimensions:   Length: 0.75" Width: 6.25" Height: 9.25"
Weight:   1.65 lbs.
Binding  Hardcover
Release Date   Sep 29, 2005
Publisher   Springer
ISBN  3540241337  
ISBN13  9783540241331  

Availability  141 units.
Availability accurate as of Oct 22, 2016 05:08.
Usually ships within one to two business days from La Vergne, TN.
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1Books > Special Features > Formats
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Linear Programming
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Statistics
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > Applied > Differential Equations
8Books > Subjects > Science > Mathematics > Applied > Linear Programming
9Books > Subjects > Science > Mathematics > Applied > Probability & Statistics
10Books > Subjects > Science > Mathematics > General
11Books > Subjects > Science > Mathematics > Mathematical Analysis

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