1.

Record Nr.

UNINA9910818014103321

Autore

Druet Olivier <1976->

Titolo

The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2002]

©2002

ISBN

1-4704-0359-5

Descrizione fisica

1 online resource (113 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 761

Disciplina

510 s

514/.74

Soggetti

Variational inequalities (Mathematics)

Riemannian manifolds

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (pages 95-98).

Nota di contenuto

""5.4. Extremal functions for the A�part of the AB program""""5.5. Critical functions versus best constants""; ""5.6. Low dimension""; ""5.7. The B�part of the AB program""; ""Chapter 6. PDE Methods""; ""6.1. Weak pointwise estimates""; ""6.2. Strong pointwise estimates""; ""6.3. Exact asymptotic profile""; ""Chapter 7. The isoperimetric inequality""; ""Chapter 8. The H[sup(p)][sub(1)]�inequalities, 1 < p < dimM""; ""8.1. Sharp inequalities with respect to the A�constant""; ""8.2. Geometric rigidity attached to the first constant""

""8.3. A scale in powers of sharp Sobolev inequalities""""8.4. Extremal functions for the A�part of the AB program""; ""8.5. Sharp inequalities with respect to the B�constant""; ""Bibliography""