The Resource An Introduction to Nonlinear Functional Analysis and Elliptic Problems, by Antonio Ambrosetti, David Arcoya Álvarez, (electronic resource)

An Introduction to Nonlinear Functional Analysis and Elliptic Problems, by Antonio Ambrosetti, David Arcoya Álvarez, (electronic resource)

Label
An Introduction to Nonlinear Functional Analysis and Elliptic Problems
Title
An Introduction to Nonlinear Functional Analysis and Elliptic Problems
Statement of responsibility
by Antonio Ambrosetti, David Arcoya Álvarez
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
http://library.link/vocab/creatorName
Ambrosetti, Antonio
Dewey number
515.7
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • b6VqGhdtsGE
  • Tz3zpIbEzUw
Language note
English
LC call number
QA319-329.9
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Arcoya Álvarez, David.
Series statement
Progress in Nonlinear Differential Equations and Their Applications,
Series volume
82
http://library.link/vocab/subjectName
  • Functional analysis
  • Differential equations, partial
  • Differentiable dynamical systems
  • Functional Analysis
  • Partial Differential Equations
  • Dynamical Systems and Ergodic Theory
Label
An Introduction to Nonlinear Functional Analysis and Elliptic Problems, by Antonio Ambrosetti, David Arcoya Álvarez, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Notation -- Preliminaries -- Some Fixed Point Theorems -- Local and Global Inversion Theorems -- Leray-Schauder Topological Degree -- An Outline of Critical Points -- Bifurcation Theory -- Elliptic Problems and Functional Analysis -- Problems with A Priori Bounds -- Asymptotically Linear Problems -- Asymmetric Nonlinearities -- Superlinear Problems -- Quasilinear Problems -- Stationary States of Evolution Equations -- Appendix A Sobolev Spaces -- Exercises -- Index -- Bibliography
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (202 p.)
Form of item
online
Isbn
9780817681142
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-8114-2
Specific material designation
remote
System control number
  • (CKB)2670000000099977
  • (EBL)3067009
  • (SSID)ssj0000508446
  • (PQKBManifestationID)11323683
  • (PQKBTitleCode)TC0000508446
  • (PQKBWorkID)10554982
  • (PQKB)10566554
  • (DE-He213)978-0-8176-8114-2
  • (MiAaPQ)EBC3067009
  • (EXLCZ)992670000000099977
Label
An Introduction to Nonlinear Functional Analysis and Elliptic Problems, by Antonio Ambrosetti, David Arcoya Álvarez, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Notation -- Preliminaries -- Some Fixed Point Theorems -- Local and Global Inversion Theorems -- Leray-Schauder Topological Degree -- An Outline of Critical Points -- Bifurcation Theory -- Elliptic Problems and Functional Analysis -- Problems with A Priori Bounds -- Asymptotically Linear Problems -- Asymmetric Nonlinearities -- Superlinear Problems -- Quasilinear Problems -- Stationary States of Evolution Equations -- Appendix A Sobolev Spaces -- Exercises -- Index -- Bibliography
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (202 p.)
Form of item
online
Isbn
9780817681142
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-8114-2
Specific material designation
remote
System control number
  • (CKB)2670000000099977
  • (EBL)3067009
  • (SSID)ssj0000508446
  • (PQKBManifestationID)11323683
  • (PQKBTitleCode)TC0000508446
  • (PQKBWorkID)10554982
  • (PQKB)10566554
  • (DE-He213)978-0-8176-8114-2
  • (MiAaPQ)EBC3067009
  • (EXLCZ)992670000000099977

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