Volume no :1, Issue no: 1, April 2008

Journal of Mathematical Sciences: Advances and Applications

ON THE CLASSICAL SHARP SOBOLEV INEQUALITY AND RELATED PROBLEMS

Author's: Ezequiel R. Barbosa
Pages: [167] - [181]
Received Date: April 15, 2008
Submitted by:

Abstract

This article reports the main results in the best constant theory for the classical sharp Sobolev inequality on compact Riemannian manifolds. Moreover, we prove that the second best constant depends continuously on g in relation to the -topology.

Keywords

best constants, extremal functions, sharp Sobolev inequalities.