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Sobolev type inequalities on Riemannian manifolds

✍ Scribed by Levi Adriano; Changyu Xia

Book ID: 118475521
Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 203 KB
Volume: 371
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.05.043

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In this paper, we establish some sharp Sobolev trace inequalities on n-dimensional, compact Riemannian manifolds with smooth boundaries. More specifically, let We establish for any Riemannian manifold with a smooth boundary, denoted as (M, g), that there exists some constant A = A(M, g) > 0, ( ∂M |