Cartesian Currents in the Calculus of Variations II

Variational Integrals

Locate

My Reading Lists:

Create a new list


Buy this book

Last edited by MARC Bot
September 28, 2024 | History

Cartesian Currents in the Calculus of Variations II

Variational Integrals

This monograph (in two volumes) deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs, and in physics, as stable equilibrium configuations in nonlinear elasticity or for liquid crystals. The presentation is selfcontained and accessible to non specialists. Topics are treated as far as possible in an elementary way, illustrating results with simple examples; in principle, chapters and even sections are readable independently of the general context, so that parts can be easily used for graduate courses. Open questions are often mentioned and the final section of each chapter discusses references to the literature and sometimes supplementary results. Finally, a detailed Table of Contents and an extensive Index are of help to consult this monograph.

Publish Date
Language
English
Pages
700

Buy this book

Edition Availability
Cover of: Cartesian Currents in the Calculus of Variations II
Cartesian Currents in the Calculus of Variations II: Variational Integrals
1998, Springer Berlin Heidelberg
electronic resource : in English

Add another edition?

Book Details


Table of Contents

Part I: General Measure Theory
Integer Rectifiable Currents
Cartesian Maps
Cartesian Currents in Euclidean Spaces
Cartesian Currents in Riemannian Manifolds
Part II: Regular Variational Integrals
Finite Elasticity and Weak Diffeomorphisms
The Dirichlet Integral in Sobolev Spaces
The Dirichlet Energy for Maps into S2
Regular and Non Regular Integrals
The Non Parametric Area Functional.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Berlin, Heidelberg
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete / 3. Folge. A Series of Modern Surveys in Mathematics -- 38, Ergebnisse der Mathematik und ihrer Grenzgebiete / 3. Folge. A Series of Modern Surveys in Mathematics -- 38

Classifications

Dewey Decimal Class
515
Library of Congress
QA299.6-433, QA402.5-402.6

The Physical Object

Format
[electronic resource] :
Pagination
1 online resource (xxiv, 700 p.)
Number of pages
700

Edition Identifiers

Open Library
OL27023280M
ISBN 10
3642083757, 3662062186
ISBN 13
9783642083754, 9783662062180
OCLC/WorldCat
851381119

Work Identifiers

Work ID
OL19833370W

Community Reviews (0)

No community reviews have been submitted for this work.

Lists

History

Download catalog record: RDF / JSON
September 28, 2024 Edited by MARC Bot import existing book
February 26, 2022 Edited by ImportBot import existing book
June 28, 2019 Created by MARC Bot import new book