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The $AB$ program in geometric analysis: sharp Sobolev inequalities and related problems
About this Title
Olivier Druet and Emmanuel Hebey
Publication: Memoirs of the American Mathematical Society
Publication Year:
2002; Volume 160, Number 761
ISBNs: 978-0-8218-2989-9 (print); 978-1-4704-0359-1 (online)
DOI: https://doi.org/10.1090/memo/0761
MathSciNet review: 1938183
MSC: Primary 58J05; Secondary 35J20, 46E35, 53C21, 58E35
Table of Contents
Chapters
- 1. Euclidean background
- 2. Statement of the $AB$ program
- 3. Some historical motivations
- 4. The $H^2_1$-inequality – Part I
- 5. The $H^2_1$-inequality – Part II
- 6. PDE methods
- 7. The isoperimetric inequality
- 8. The $H^p_1$-inequalities, $1 < p < \dim M$