Wow! eBook
Nonlinear Functional Analysis
Author(s): Rong Yuan (Author)
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication Date: 3 July 2026
- Language: English
- Print length: 210 pages
- ISBN-10: 9819825814
- ISBN-13: 9789819825813
Book Description
This book mainly provides the basic theories and methods of nonlinear functional analysis. The content includes Fréchet differentiation, the implicit function theorem, bifurcation problems, Brouwer degree, Leray-Schauder degree, fixed point theorems, topological degree of cone mappings, the global bifurcation theorem, extremum principles, Ekeland’s variational principle, the minimax principle, index, and category.It consists of three chapters: Nonlinear Operators on Banach Spaces, Topological Degree Theory, and Variational Methods. Some examples are given to explain the applications of these theories, and each chapter contains exercises.This is a textbook for graduate students and senior undergraduate students.
