Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | An Introduction to Nonlinear Functional Analysis and Elliptic Problems

An Introduction to Nonlinear Functional Analysis and Elliptic Problems

Ambrosetti, Antonio, Arcoya Álvarez, David

2011, XII, 199p. 12 illus..

A product of Birkhäuser Basel
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$39.95

(net) price for USA

ISBN 978-0-8176-8114-2

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$59.95

(net) price for USA

ISBN 978-0-8176-8113-5

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Provides the basic, abstract tools used in nonlinear analysis
  • Presents 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
  • Outlines a variety of approaches and displays how they can easily be applied to a range of model cases
  • Clear exposition driven by numerous prototype problems
  • An extensive appendix that includes further results on weak derivatives

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.

Content Level » Graduate

Keywords » Leray--Schauder topological degree - bifurcation theory - critical points - elliptic problems - fixed point theorem - global inversion theorems - nonlinear functional analysis - quasilinear problems - suprelinear problems

Related subjects » Birkhäuser Mathematics

Table of contents / Preface / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Functional Analysis.