A01=Rong Yuan
Author_Rong Yuan
Axiomatization of Degree Theory
Bifurcation Theorem
Brouwer Degree
Category
Category=PBKA
Category=PBKF
Cones and Partial Orders
Deformation Lemma
Ekeland Variational Principle
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Extremum Principle
Fixed Point Theorem
forthcoming
FrAfA(C)chet Differentiation
Frechet Differentiation
Implicit Function Theorem
Index
Leray-Schauder Degree
LerayAcAEURA"Schauder Degree
Lyapunov-Schmidt Reduction
LyapunovAcAEURA"Schmidt Reduction
Minimax Principle
Mixed Monotone Operators
Nehari Technique
Ordered Banach Spaces
Pseudo-Gradient Vector Field
Pseudo-Index
Sard Theorem
Super and Sub-Solutions Method
The Coincidence Degree
The Global Bifurcation Theorem
Topological Degree of Condensing Field
Topological Degree of Cone Mapping
Product details
- ISBN 9789819825813
- Publication Date: 28 Jun 2026
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
