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Boundary trace inequalities and rearrangements

✍ Scribed by Andrea Cianchi; Ron Kerman; Luboš Pick

Book ID
107526872
Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
274 KB
Volume
105
Category
Article
ISSN
0021-7670

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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 |