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.
By:
Rong Yuan (Beijing Normal University China) Imprint: World Scientific Publishing Co Pte Ltd Country of Publication: Singapore ISBN:9789819825813 ISBN 10: 9819825814 Pages: 210 Publication Date:03 July 2026 Audience:
College/higher education
,
Professional and scholarly
,
Primary
,
Undergraduate
Format:Hardback Publisher's Status: Forthcoming