Skip to main content
  • Book
  • © 1998

Cartesian Currents in the Calculus of Variations I

Cartesian Currents

  • Deals with non scalar variational problems arising in geometry

  • Selfcontained presentation

  • Accessible to non specialists

  • The two volumes are readable independently

  • Chapters and even sections readable independently of the general context

  • Elementary treatment

  • Illustrated with simple examples

  • Detailed Table of Contents and extensive Index

Buying options

Softcover Book USD 279.99
Price excludes VAT (USA)
Hardcover Book USD 279.99
Price excludes VAT (USA)

About this book

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

Keywords

  • geometric measure theory
  • harmonic mappings
  • minimal surfgaces
  • nonlinear elasticity
  • weakly differentiable maps

Authors and Affiliations

  • Scuola Normale Superiore Dipartimento di Matematica, Pisa, Italy

    Mariano Giaquinta

  • Dipartimento di Sistemi e Informatica, Universit√† Firenze, Firenze, Italy

    Giuseppe Modica

Bibliographic Information

Buying options

Softcover Book USD 279.99
Price excludes VAT (USA)
Hardcover Book USD 279.99
Price excludes VAT (USA)