An Invitation to Variational Methods in Differential Equations - Tapa blanda

Costa, David G.

 
9780817645359: An Invitation to Variational Methods in Differential Equations
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ISBN 10: 0817645357 ISBN 13: 9780817645359
Editorial: Birkhäuser Boston, 2007

Sinopsis

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.

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De la contraportada

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.

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Editorial
Birkhäuser Boston
Año de publicación
2007
Idioma
Inglés
ISBN 10 
0817645357
ISBN 13 
9780817645359
Encuadernación
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Número de páginas
152
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

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9780817672027: An Invitation to Variational Methods in Differential Equations

Edición Destacada

ISBN 10:  0817672028 ISBN 13:  9780817672027
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