An introduction to nonlinear functional analysis and elliptic problems

Locate

My Reading Lists:

Create a new list

Check-In

×Close
Add an optional check-in date. Check-in dates are used to track yearly reading goals.
Today


Buy this book

Last edited by MARC Bot
August 24, 2024 | History

An introduction to nonlinear functional analysis and elliptic problems

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.

Publish Date
Publisher
Birkhaüser
Language
English
Pages
199

Buy this book

Previews available in: English

Book Details


Edition Notes

Includes bibliographical references (p. 193-196) and index.

Published in
Boston
Series
Progress in nonlinear differential equations and their applications -- v. 82, Progress in nonlinear differential equations and their applications -- v. 82.

Classifications

Library of Congress
QA377 .A5664 2011, QA1-939, QA377 .A5295 2011

The Physical Object

Pagination
xii, 199 p. :
Number of pages
199

ID Numbers

Open Library
OL25064177M
Internet Archive
introductiontono00ambr
ISBN 10
0817681132
ISBN 13
9780817681135
LCCN
2011930398
OCLC/WorldCat
740629963

Community Reviews (0)

Feedback?
No community reviews have been submitted for this work.

Lists

This work does not appear on any lists.

History

Download catalog record: RDF / JSON
August 24, 2024 Edited by MARC Bot import existing book
August 21, 2020 Edited by ImportBot import existing book
July 1, 2019 Edited by MARC Bot import existing book
October 23, 2011 Created by LC Bot import new book