The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space

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dc.creatorBenguria, Rafael D.
dc.creatorFrank, Rupert L.
dc.creatorLoss, Michael
dc.date2007-05-25
dc.date.accessioned2026-07-07T08:03:16Z
dc.date.available2026-07-07T08:03:16Z
dc.descriptionIt is shown that the sharp constant in the Hardy-Sobolev-Maz'ya inequality on the three dimensional upper half space is given by the Sobolev constant. This is achieved by a duality argument relating the problem to a Hardy-Littlewood-Sobolev type inequality whose sharp constant is determined as well.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0705.3833
dc.identifierhttp://arxiv.org/abs/0705.3833
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129517
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleThe sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space
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