Nonlinear Functional Analysis and its Applications

III: Variational Methods and Optimization

Authors: Zeidler, E.

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Softcover 114,39 €
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About this Textbook

As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation.

Table of contents (22 chapters)

  • Introduction to the Subject

    Zeidler, Eberhard

    Pages 1-11

    Preview Buy Chapter 30,19 €
  • Introductory Typical Examples

    Zeidler, Eberhard

    Pages 12-142

    Preview Buy Chapter 30,19 €
  • Compactness and Extremal Principles

    Zeidler, Eberhard

    Pages 145-167

    Preview Buy Chapter 30,19 €
  • Convexity and Extremal Principles

    Zeidler, Eberhard

    Pages 168-186

    Preview Buy Chapter 30,19 €
  • Free Local Extrema of Differentiable Functionals and the Calculus of Variations

    Zeidler, Eberhard

    Pages 189-228

    Preview Buy Chapter 30,19 €

Buy this book

eBook 101,14 €
price for Spain (gross)
  • ISBN 978-1-4612-5020-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-0-387-90915-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-1-4612-9529-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Functional Analysis and its Applications
Book Subtitle
III: Variational Methods and Optimization
Authors
Translated by
Boron, L.F.
Copyright
1985
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-5020-3
DOI
10.1007/978-1-4612-5020-3
Hardcover ISBN
978-0-387-90915-8
Softcover ISBN
978-1-4612-9529-7
Edition Number
1
Number of Pages
XXII, 662
Additional Information
Original German edition in 3 volumes published by Teubner Verlag, Leipzig, 1975/76/77
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