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Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities
About this Title
Emmanuel Hebey, Université de Cergey-Pontoise
Publication: Courant Lecture Notes
Publication Year:
2000; Volume 5
ISBNs: 978-0-8218-2700-0 (print); 978-1-4704-1759-8 (online)
DOI: https://doi.org/10.1090/cln/005
MathSciNet review: MR1688256
MSC: Primary 58D15; Secondary 35J60, 46E35, 53C21, 58J60
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Elements of Riemannian geometry
- Chapter 2. Sobolev spaces: The compact setting
- Chapter 3. Sobolev spaces: The noncompact setting
- Chapter 4. Best constants in the compact setting I
- Chapter 5. Best constants in the compact setting II
- Chapter 6. Optimal inequalities with constraints
- Chapter 7. Best constants in the noncompact setting
- Chapter 8. Euclidean-type Sobolev inequalities
- Chapter 9. The influence of symmetries
- Chapter 10. Manifolds with boundary