Convex Variational Problems Linear, nearly Linear and Anisotropic Growth Conditions /

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...

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Bibliographic Details
Main Author: Bildhauer, Michael (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
Edition:1st ed. 2003.
Series:Lecture Notes in Mathematics, 1818
Subjects:
Online Access:Full Text via HEAL-Link
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.