An Introduction to Nonlinear Functional Analysis and Elliptic Problems (Progress in Nonlinear Differential Equations and Their Applications)

Antonio Ambrosetti

ISBN 10: 0817681132 / ISBN 13: 9780817681135

Published by Birkh?user, 2011

About this Item

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. Series: Progress in Nonlinear Differential Equations and Their Applications. Num Pages: 199 pages, 12 black & white illustrations, biography. BIC Classification: PBKF; PBKJ; PBWR. Category: (P) Professional & Vocational. Dimension: 237 x 166 x 18. Weight in Grams: 454. . 2011. 2011th Edition. Hardcover. . . . .

Seller Inventory # V9780817681135

Bibliographic Details

• Title: An Introduction to Nonlinear Functional Analysis and Elliptic Problems (Progress in Nonlinear Differential Equations and Their Applications)
• Publisher: Birkh?user
• Publication Date: 2011
• Language: English
• ISBN 10: 0817681132
• ISBN 13: 9780817681135
• Binding: Hardcover
• Condition: New

About this title

Synopsis

This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems. By first outlining the advantages and disadvantages of each method, this comprehensive text displays how various approaches can easily be applied to a range of model cases.

An Introduction to Nonlinear Functional Analysis and Elliptic Problems is divided into two parts: the first discusses key results such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, Leray–Schauder degree, critical point theory, and bifurcation theory; the second part shows how these abstract results apply to Dirichlet elliptic boundary value problems. The exposition is driven by numerous prototype problems and exposes a variety of approaches to solving them.

Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.

About the Author

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.