Non-linear ground state representations and sharp Hardy inequalities

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dc.creatorFrank, Rupert L.
dc.creatorSeiringer, Robert
dc.date2008-03-04
dc.date2008-11-14
dc.date.accessioned2026-07-07T10:17:51Z
dc.date.available2026-07-07T10:17:51Z
dc.descriptionWe determine the sharp constant in the Hardy inequality for fractional Sobolev spaces. To do so, we develop a non-linear and non-local version of the ground state representation, which even yields a remainder term. From the sharp Hardy inequality we deduce the sharp constant in a Sobolev embedding which is optimal in the Lorentz scale. In the appendix, we characterize the cases of equality in the rearrangement inequality in fractional Sobolev spaces.
dc.descriptionAMSLaTeX, 22 pages; extension of the result to the case N<ps
dc.identifierhttps://arxiv.org/abs/0803.0503
dc.identifierhttp://arxiv.org/abs/0803.0503
dc.identifierJ. Funct. Anal. 255 (2008), 3407 - 3430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173998
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titleNon-linear ground state representations and sharp Hardy inequalities
dc.typetext

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