Index

Chapters in this book

1. Frontmatter I
2. Preface VII
3. Contents IX
4. 1. Profile decomposition: a structured defect of compactness 1
5. 2. Delta-convergence and weak convergence 15
6. 3. Cocompact embeddings with the rescaling group 29
7. 4. Profile decomposition in Banach spaces 59
8. 5. More cocompact embeddings 81
9. 6. Profile decompositions on subsets 101
10. 7. Global compactness on Riemannian manifolds 117
11. 8. Functions of bounded variation. Sobolev spaces on fractals 159
12. 9. Sample applications to variational problems 173
13. 10. Appendix 191
14. Common notations 207
15. Bibliography 209
16. Index 215