Cartesian Currents in the Calculus of Variations II Variational Integrals

Non-scalar variational problems appear in different fields. In geometry, for in­ stance, we encounter the basic problems of harmonic maps between Riemannian manifolds and of minimal immersions; related questions appear in physics, for example in the classical theory of a-models. Non linear elasticit...

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Bibliographic Details
Main Authors: Giaquinta, Mariano, Modica, Guiseppe (Author), Soucek, Jiri (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1998, 1998
Edition:1st ed. 1998
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Regular Variational Integrals
  • 2. Finite Elasticity and Weak Diffeomorphisms
  • 3. The Dirichlet Integral in Sobolev Spaces
  • 4. The Dirichlet Energy for Maps into S2
  • 5. Some Regular and Non Regular Variational Problems
  • 6. The Non Parametric Area Functional
  • Symbols