Nonlinear Functional Analysis and its Applications: III: Variational Methods and Optimization

Zeidler, E.

ISBN 10: 038790915X / ISBN 13: 9780387909158

Published by Springer, 1984

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Seller Inventory # I-9780387909158

Bibliographic Details

• Title: Nonlinear Functional Analysis and its Applications: III: Variational Methods and Optimization
• Publisher: Springer
• Publication Date: 1984
• Language: English
• ISBN 10: 038790915X
• ISBN 13: 9780387909158
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.