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: Convex variational problems
    sub title: linear, nearly linear and anisotropic growth conditions
  name:
    name part: Bildhauer, Michael
    name part: 1964-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2003
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (x, 217 pages) : illustrations.
  abstract: The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.
  table of contents: 1. Introduction -- 2. Variational problems with linear growth: the general setting -- 3. Variational integrands with ($, mu, q$)-growth -- 4. Variational problems with linear growth: the case of $ mu $-elliptic integrands -- 5. Bounded solutions for convex variational problems with a wide range of anisotropy -- 6. Anisotropic linear/superlinear growth in the scalar case -- A. Some remarks on relaxation -- B. Some density results -- C. Brief comments on steady states of generalized Newtonian fluids -- D. Notation and conventions -- References -- Index.
  note: Michael Bildhauer.
  note: Electronic resource.
  note: Includes bibliographical references (pages [207]-213) and index.
  subject:
    topic: Calculus of variations
  subject:
    topic: Differential equations, Elliptic
    topic: Numerical solutions
  subject:
    topic: Calculus of variations
  subject:
    topic: Differential equations, Elliptic
    topic: Numerical solutions
  classification: QA3 .L28 no. 1818
  classification: QA316
  classification: 510 s 515/.64
  related item:
    title info:
      title: Convex variational problems
    name:
      name part: Bildhauer, Michael, 1964-
    origin info:
      publisher: Berlin ; New York : Springer, ©2003
    identifier: (DLC) 2003054306
    identifier: (OCoLC)52424019
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1818
  identifier: 9783540448853 (electronic bk.)
  identifier: 3540448853 (electronic bk.)
  identifier: 3540402985
  identifier: 9783540402985
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: COO
    record creation date: 030606
    record change date: 20260422201222.8
    record identifier: in00003500307
    language of cataloging:
      language term: eng