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On the second best constant in logarithmic Sobolev inequalities on complete Riemannian manifolds

✍ Scribed by Christophe Brouttelande

Publisher
Elsevier Science
Year
2003
Tongue
French
Weight
167 KB
Volume
127
Category
Article
ISSN
0007-4497

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✦ Synopsis

We study the second best constant problem for logarithmic Sobolev inequalities on complete Riemannian manifolds and investigate its relationship with optimal heat kernel bounds and the existence of extremal functions.

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