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An invitation to variational methods in differential equations

Author: David G Costa
Publisher: Boston : Birkhäuser, 2007.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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)." "The concise, straightforward, user-friendly approach of this textbook  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David G Costa
ISBN: 0817645357 9780817645359 0817645365 9780817645366
OCLC Number: 85842559
Notes: Textbook for graduates.
Description: xii, 138 pages : illustrations ; 24 cm
Contents: Preface.-Introduction.-Critical Points Via Minimization.-The Deformation Theorem.-The Mountain-Pass Theorem.-The Saddle-Point Theorem.-Critical Points under Constraints.-A Duality Principle.-Critical Points under Symmetries.-Problems with an S1-Symmetry.-Problems with Lack of Compactness.-Lack of Compactness for Bounded Omega.-Index.
Responsibility: David G. Costa.
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Abstract:

This book is a short introductory text to variational techniques with applications to differential equations. Each topic is presented in a straightforward manner, and followed by one or two  Read more...

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From the reviews: "This book is intended to be an introduction to variational methods for ODEs and PDEs. ... Overall, this is a well-written book on the variational methods ... . The author clearly Read more...

 
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