Table of Contents

Preface.- 1 Preliminaries.- 2 Properties of Linear and Nonlinear Operators.- 3 Abstract Integral and Differential Calculus.- 4 Local Properties of Differentiable Mappings.- 5 Topological and Monotonicity Methods.- 6 Variational Methods.- 7 Boundary Value Problems for Partial Differential Equations.- Summary of Methods.- Typical Applications.- Comparison of Bifurcation Results.- List of Symbols.- Index.- Bibliography.

Reviews

From the reviews of the second edition:“The book is sufficiently wide-ranging to offer a panorama over nonlinear analysis and its applications to differential equations, and, at the same time, sufficiently structured and organized in order to allow the reader to easily access a specific topic in this broad domain of mathematics. Certainly, undergraduate and graduate students, as well as researchers in pure and applied mathematics will find that the book is a useful field guide providing excellent motivation for study and inspiration for new contributions and applications.” (Radu Precup, Zentralblatt MATH, Vol. 1264, 2013)