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Quasilinear elliptic equations and weighted Sobolev–Poincaré inequalities with distributional weights

✍ Scribed by Benjamin J. Jaye; Vladimir G. Maz’ya; Igor E. Verbitsky

Book ID
119183724
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
296 KB
Volume
232
Category
Article
ISSN
0001-8708

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We derive weighted log-Sobolev inequalities from a class of super Poincaré inequalities. As an application, Talagrand inequalities with super quadratic cost functions are obtained. In particular, on a complete connected Riemannian manifold, we prove that the log δ -Sobolev inequality with δ ∈ (1, 2)