Concentration Compactness Functional-Analytic Theory of Concentration Phenomena
Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This monograph presents a systematic functional-analytic presentation of concentration mechanisms and is by far the most extensive and syst...
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| Format: | eBook |
| Language: | English |
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Berlin ; Boston
De Gruyter,
[2020]
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| Series: | De Gruyter Series in Nonlinear Analysis and Applications ;
33 |
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| Online Access: | EBSCOhost Перейти в каталог НБ ТГУ |
Table of Contents:
- Frontmatter
- Preface
- Contents
- 1. Profile decomposition: a structured defect of compactness
- 2. Delta-convergence and weak convergence
- 3. Cocompact embeddings with the rescaling group
- 4. Profile decomposition in Banach spaces
- 5. More cocompact embeddings
- 6. Profile decompositions on subsets
- 7. Global compactness on Riemannian manifolds
- 8. Functions of bounded variation. Sobolev spaces on fractals
- 9. Sample applications to variational problems
- 10. Appendix
- Common notations
- Bibliography
- Index