
Cartesian Currents in the Calculus of Variations I
Cartesian Currents
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics; 37;
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Product details:
- Edition number 1998
- Publisher Springer
- Date of Publication 19 August 1998
- Number of Volumes 1 pieces, Book
- ISBN 9783540640097
- Binding Hardback
- No. of pages711 pages
- Size 235x155 mm
- Weight 2670 g
- Language English
- Illustrations XXIV, 711 p. Illustrations, black & white 0
Categories
Long description:
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
MoreTable 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.
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Cartesian Currents in the Calculus of Variations I: Cartesian Currents
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