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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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2003]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1818. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
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.