An Invitation to Variational Methods in Differential Equations
Language: English
Published by Birkhauser 2007-07, 2007
Series: Book 1 of 1 - Birkhauser Advanced Texts/Basler Lehrbucher
- Softcover
- New
Seller: Chiron Media, Wallingford, United KingdomChiron Media
AbeBooks seller since August 2, 2010
Condition: New
£ 57.94
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Add to basketSeller Inventory # 6666-IUK-9780817645359
- Title
- An Invitation to Variational Methods in Differential Equations
- Author
- Costa, David
- Publisher
- Birkhauser 2007-07
- Publication year
- 2007
- Condition
- New
- Binding
- PF
- Language
- English
- ISBN 10
- 0817645357
- ISBN 13
- 9780817645359
- Series
- Book 1 of 1: Birkhauser Advanced Texts/Basler Lehrbucher
This textbook introduces variational methods and their applications to differential equations to graduate students and researchers interested in differential equations and nonlinear analysis. It serves as a sampling of topics in critical point theory. Coverage includes: minimizations, deformations results, the mountain-pass and saddle-point theorems, critical points under constraints, and issues of compactness. Applications immediately follow each result for easy assimilation by the reader. This straightforward and systematic presentation includes many exercises and examples to motivate the study of variational methods.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book is a short introductory text to variational techniques with applications to differential equations. It presents a sampling of topics in critical point theory with applications to existence and multiplicity of solutions in nonlinear problems involving ordinary differential equations (ODEs) and partial differential equations (PDEs).
Five simple problems in ODEs which illustrate existence of solutions from a variational point of view are introduced in the first chapter. These problems set the stage for the topics covered, including minimization, deformation results, the mountain-pass theorem, the saddle-point theorem, critical points under constraints, a duality principle, critical points in the presence of symmetry, and problems with lack of compactness. Each topic is presented in a straightforward manner, and followed by one or two illustrative applications.
The concise, straightforward, user-friendly approach of this textbook will appeal to graduate students and researchers interested in differential equations, analysis, and functional analysis.
"About the title" may belong to another edition of this title.
Chiron Media
Wallingford, United Kingdom
AbeBooks seller since August 2, 2010
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