A collection of sharp dilation invariant inequalities for differentiable functions

dc.creatorMaz'ya, V.
dc.creatorShaposhnikova, T.
dc.date2008-02-21
dc.date2008-03-10
dc.date.accessioned2026-07-07T09:25:30Z
dc.date.available2026-07-07T09:25:30Z
dc.descriptionWe find best constants in several dilation invariant integral inequalities involving derivatives of functions. Some of these inequalities are new and some were known without best constants. The contents: 1. Estimate for a quadratic form of the gradient, 2. Weighted Gårding inequality for the biharmonic operator, 3.Dilation invariant Hardy's inequality with remainder term, 4. Generalized Hardy-Sobolev inequality with sharp constant, 5. Hardy's inequality with sharp Sobolev remainder term.
dc.descriptionrevised and extended version
dc.identifierhttps://arxiv.org/abs/0802.3209
dc.identifierhttp://arxiv.org/abs/0802.3209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156428
dc.subjectAnalysis of PDEs
dc.titleA collection of sharp dilation invariant inequalities for differentiable functions
dc.typetext

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