Nonlinear Functional Analysis and Its Applications: II/B: Nonlinear Monotone Operators

"The main concern in all scientific work must be the human being himself. This, one should never forget among all those diagrams and equations." ‒ Albert Einstein

This volume is part of a comprehensive presentation of nonlinear functional analysis, the basic content of which has been outlined in the Preface of Part I. A Table of Contents for all five volumes may also be found in Part I. The Part IV and the following Part V contain applications to mathematical present physics. Our goals are the following: (i) A detailed motivation of the basic equations in important disciplines of theoretical physics. (ii) A discussion of particular problems which have played a significant role in the development of physics, and through which important mathematical and physical insight may be gained. (iii) A combination of classical and modern ideas. (iv) An attempt to build a bridge between the language and thoughts of physicists and mathematicians. We shall always try to advance as soon as possible to the heart of the problem under consideration and to concentrate on the basic ideas.

Part II is divided into two subvolumes: • Part II/ A: Linear monotone operators • Part II/B: Nonlinear monotone operators

These two subvolumes form a unit equipped with a uniform pagination. The contents of Parts II/A and II/B and the basic strategies of our presentation have been discussed in detail in the Preface to Part II/A. The present volume contains the complete index material for Parts II/A and II/B.