On the integral systems related to Hardy-Littlewood-Sobolev inequality

Simple item page
dc.creatorHang, Fengbo
dc.date2007-03-27
dc.date.accessioned2026-07-07T07:54:06Z
dc.date.available2026-07-07T07:54:06Z
dc.descriptionWe prove all the maximizers of the sharp Hardy-Littlewood-Sobolev inequality are smooth. More generally, we show all the nonnegative critical functions are smooth, radial with respect to some points and strictly decreasing in the radial direction. In particular, this resolves all the cases left open by previous works of Chen, Li and Ou on the corresponding integral systems.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0703778
dc.identifierhttp://arxiv.org/abs/math/0703778
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126470
dc.subjectAnalysis of PDEs
dc.subject45G05, 35J60
dc.titleOn the integral systems related to Hardy-Littlewood-Sobolev inequality
dc.typetext

Files

Collections

arXiv