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Nonlinear Functional Analysis and its Applications

III: Variational Methods and Optimization

  • Textbook
  • © 1985

Overview

Authors:
  1. Eberhard Zeidler

    1. Sektion Mathematik, Leipzig, German Democratic Republic

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About this book

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.

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Table of contents (22 chapters)

  2. Variational Inequalities

    1. Front Matter

      Pages 547-549
      Download chapter PDF

    2. Elliptic Variational Inequalities

      • Eberhard Zeidler
      Pages 551-567

    3. Evolution Variational Inequalities of First Order in H-Spaces

      • Eberhard Zeidler
      Pages 568-576

    4. Evolution Variational Inequalities of Second Order in H-Spaces

      • Eberhard Zeidler
      Pages 577-580

    5. Accretive Operators and Multivalued First-Order Evolution Equations in B-Spaces

      • Eberhard Zeidler
      Pages 581-598

  3. Back Matter

    Pages 599-662
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Authors and Affiliations

  • Sektion Mathematik, Leipzig, German Democratic Republic

    Eberhard Zeidler

Bibliographic Information

  • Book Title: Nonlinear Functional Analysis and its Applications

  • Book Subtitle: III: Variational Methods and Optimization

  • Authors: Eberhard Zeidler

  • DOI: https://doi.org/10.1007/978-1-4612-5020-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1985

  • Hardcover ISBN: 978-0-387-90915-8Published: 27 November 1984

  • Softcover ISBN: 978-1-4612-9529-7Published: 18 December 2013

  • eBook ISBN: 978-1-4612-5020-3Published: 11 December 2013

  • Edition Number: 1

  • Number of Pages: XXII, 662

  • Additional Information: Original German edition in 3 volumes published by Teubner Verlag, Leipzig, 1975/76/77

  • Topics: Systems Theory, Control, Calculus of Variations and Optimal Control; Optimization, Analysis

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