Parametrized Measures and Variational Principles
Weak convergence is a basic tool of modern nonlinear analysis because it enjoys the same compactness properties that finite dimensional spaces do: basically, bounded sequences are weak relatively compact sets. Nonetheless, weak conver gence does not behave as one would desire with respect to nonlin...
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| Format: | eBook |
| Language: | English |
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Basel
Birkhäuser
1997, 1997
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| Edition: | 1st ed. 1997 |
| Series: | Progress in Nonlinear Differential Equations and Their Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. Some Variational Problems
- 3. The Calculus of Variations under Convexity Assumptions
- 4. Nonconvexity and Relaxation
- 5. Phase Transitions and Microstructure
- 6. Parametrized Measures
- 7 Analysis of Parametrized Measures
- 8. Analysis of Gradient Parametrized Measures
- 9. Quasiconvexity and Rank-one Convexity
- 10. Analysis of Divergence-Free Parametrized Measures