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Cartesian Currents in the Calculus of Variations I: Cartesian Currents

Cartesian Currents in the Calculus of Variations I: Cartesian Currents

Paperback

Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /, Book 37

General MathematicsPhysics

ISBN10: 3642083749
ISBN13: 9783642083747
Publisher: Springer
Published: Dec 1 2010
Pages: 711
Weight: 2.24
Height: 1.48 Width: 6.14 Depth: 9.21
Language: English
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

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