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

Zeidler, E.

ISBN 10: 1461295297 / ISBN 13: 9781461295297

Published by Springer 2013-12, 2013

About this Item

Seller Inventory # 6666-IUK-9781461295297

Bibliographic Details

• Title: Nonlinear Functional Analysis and its Applications : III: Variational Methods and Optimization
• Publisher: Springer 2013-12
• Publication Date: 2013
• Language: English
• ISBN 10: 1461295297
• ISBN 13: 9781461295297
• Binding: PF
• 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.