Function theory and Sobolev inequalities have been the target of investigation for decades. Sharp constants in these inequalities constitute a critical tool in geometric analysis. The $AB$ program is concerned with sharp Sobolev inequalities on compact Riemannian manifolds. Important and significant progress has been made during recent years. We summarize the present state and describe new results.
| ISBN: | 9780821829899 |
| Publication date: | 30th September 2002 |
| Author: | Olivier Druet, Emmanuel Hebey |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 98 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Algebraic topology Calculus and mathematical analysis |