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A sharp Sobolev inequality on Riemannian manifolds

✍ Scribed by Ricciardi, Tonia; Li, Yanyan


Book ID
125840554
Publisher
American Institute of Mathematical Sciences
Year
2003
Tongue
English
Weight
335 KB
Volume
2
Category
Article
ISSN
1534-0392

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Sharp Sobolev trace inequalities on Riem
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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, ( βˆ‚M |