An Introduction to Nonlinear Functional Analysis and Elliptic Problems by Antonio Ambrosetti

An Introduction to Nonlinear Functional Analysis and Elliptic Problems by Antonio Ambrosetti

This self-contained textbook provides the basic, abstract tools used in nonlinear analysis. The text discusses key results such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, and more.

From the reviews:

“The book is devoted to nonlinear functional analysis and its applications to semilinear elliptic boundary value problemsIt covers a great variety of topics and gives a good introduction to the subject. … The book is aimed at graduate and senior undergraduate students.” (Alexander A. Pankov, Mathematical Reviews, Issue 2012 f)

“This book provides some basic abstract tools used in modern nonlinear analysis in strong relationship with their applications to semilinear elliptic boundary value problems. … This monograph is suitable for graduate students and researchers … . the volume under review should certainly be in the library of every university where research in mathematics is conducted.” (Vicenţiu D. Rădulescu, Zentralblatt MATH, Vol. 1228, 2012)

Both authors are leading experts in this area of mathematics. Antonio Ambrosetti has been at the very forefront of research in this field for forty years, and several of the major topics from Parts 1 and 2 of the book are drawn from his research.

SKU	Unavailable
ISBN 13	9780817681135
ISBN 10	0817681132
Title	An Introduction to Nonlinear Functional Analysis and Elliptic Problems
Author	Antonio Ambrosetti
Series	Progress In Nonlinear Differential Equations And Their Applications
Condition	Unavailable
Binding Type	Hardback
Publisher	Birkhauser Boston Inc
Year published	2011-07-19
Number of pages	199
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.