Duke Mathematical Journal

The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds

Emmanuel Hebey and Michel Vaugon

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Duke Math. J. Volume 79, Number 1 (1995), 235-279.

First available: 20 February 2004

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Primary: 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60]
Secondary: 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems 58D15: Manifolds of mappings [See also 46T10, 54C35]


Hebey, Emmanuel; Vaugon, Michel. The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds. Duke Mathematical Journal 79 (1995), no. 1, 235--279. doi:10.1215/S0012-7094-95-07906-X. http://projecteuclid.org/euclid.dmj/1077284967.

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