On the geometric dependence of Riemannian Sobolev best constants

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dc.creatorBarbosa, Ezequiel R.
dc.creatorMontenegro, Marcos
dc.date2007-08-17
dc.date2008-08-10
dc.date.accessioned2026-07-07T09:55:31Z
dc.date.available2026-07-07T09:55:31Z
dc.descriptionWe concerns here with the continuity on the geometry of the second Riemannian L^p-Sobolev best constant B_0(p,g) associated to the AB program. Precisely, for 1 <= p <= 2, we prove that B_0(p,g) depends continuously on g in the C^2-topology. Moreover, this topology is sharp for p = 2. From this discussion, we deduce some existence and C^0-compactness results on extremal functions.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0708.2376
dc.identifierhttp://arxiv.org/abs/0708.2376
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166658
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject32Q10, 53C21
dc.titleOn the geometric dependence of Riemannian Sobolev best constants
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