๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Some General Forms of Sharp Sobolev Inequalities

โœ Scribed by Meijun Zhu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
579 KB
Volume
156
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we establish some general forms of sharp Sobolev inequalities on the upper half space or any compact Riemannian manifold with smooth boundary. These forms extend some previous results Escobar [11], Li and Zhu [18].

๐Ÿ“œ SIMILAR VOLUMES

Generalization of an Inequality by Talag
Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
โœ F. Otto; C. Villani ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 244 KB

We show that transport inequalities, similar to the one derived by M. Talagrand (1996, Geom. Funct. Anal. 6, 587 600) for the Gaussian measure, are implied by logarithmic Sobolev inequalities. Conversely, Talagrand's inequality implies a logarithmic Sobolev inequality if the density of the measure i