Zeidler E. Nonlinear functional analysis and its applications II/B: Nonlinear Monotone Operators

Springer, 1990. — 739 p.
The present book is part of a comprehensive exposition of the main principles of nonlinear functional analysis and its numerous applications to the natural sciences and mathematical economics. The presentation is self-contained and accessible to a broader audience of mathematicians, natural scientists, and engineers. The material is organized as follows:
Fixed-point theorems.
Monotone operators.
Variational methods and optimization.
Applications to mathematical physics.
Here, Part II is divided into two subvolumes:
Linear monotone operators.
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.