Optimal L^p-Riemannian Gagliardo-Nirenberg inequalities

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dc.creatorCeccon, Jurandir
dc.creatorMontenegro, Marcos
dc.date2007-08-20
dc.date2007-08-23
dc.date.accessioned2026-07-07T08:24:53Z
dc.date.available2026-07-07T08:24:53Z
dc.descriptionLet (M,g) be a compact Riemannian manifold of dimension n \geq 2. In this work we prove the validity of the optimal L^p-Riemannian Gagliardo-Nirenberg inequality for 1 < p \leq 2. Our proof relies strongly on a new distance lemma which. In particular, we extend L^p-Euclidean Gagliardo-Nirenberg inequalities due to Del Pino and Dolbeault and the optimal L^2-Riemannian Gagliardo-Nirenberg inequality due to Broutteland in a unified framework.
dc.description23 pages. To appear in Mathematische Zeitschrift
dc.identifierhttps://arxiv.org/abs/0708.2650
dc.identifierhttp://arxiv.org/abs/0708.2650
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136495
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleOptimal L^p-Riemannian Gagliardo-Nirenberg inequalities
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