The AB Program in Geometric Analysis : Sharp Sobolev Inequalities and Related Problems

ISBN-13: 9780821829899 / Angielski / Miękka / 2002

Olivier Druet; F Emmanuel (Both Of The University Of Cergy-Pontoise Hebey

Opis

Function theory and Sobolev inequalities have been the target of investigation for many years. Sharp constants in these inequalities constitute a critical tool in geometric analysis. The $AB$ programme is concerned with sharp Sobolev inequalities on compact Riemannian manifolds. This text summarizes the results of contemporary research and gives an up-to-date report on the field.