rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Cartesian Currents in the Calculus of Variations II
    sub title: Variational Integrals
  name:
    name part: Giaquinta, Mariano.
    role:
      role term: creator
  name:
    name part: Modica, Giuseppe.
  name:
    name part: Souček, Jiří.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1998
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xxiv, 700 pages)
  abstract: 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.
  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.
  note: by Mariano Giaquinta, Giuseppe Modica, Jiří Souček.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Geometry
  subject:
    topic: Geometry
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Mathematics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge. A Series of Modern Surveys in Mathematics ; 38
  identifier: 9783662062180 (electronic bk.)
  identifier: 3662062186 (electronic bk.)
  identifier: 9783642083754
  identifier: 3642083757
  identifier: 3662062186
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130220
    record change date: 20260422203748.2
    record identifier: in00003557487
    language of cataloging:
      language term: eng