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...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg,
1998.
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| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge. A Series of Modern Surveys in Mathematics ;
38. |
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| Online Access: | Connect to the full text of this electronic book |
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.