Improved Rellich inequalities for the polyharmonic operator

Simple item page
dc.creatorBarbatis, G.
dc.date2005-02-14
dc.date.accessioned2026-07-07T05:16:59Z
dc.date.available2026-07-07T05:16:59Z
dc.descriptionWe prove two improved versions of the Hardy-Rellich inequality for the polyharmonic operator $(-Δ)^m$ involving the distance to the boundary. The first involves an infinite series improvement using logarithmic functions, while the second contains $L^2$ norms and involves as a coefficient the volume of the domain. We find explicit constants for these inequalities, and we prove their optimality in the first case.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0502286
dc.identifierhttp://arxiv.org/abs/math/0502286
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74190
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.subject35J20; 26D10
dc.titleImproved Rellich inequalities for the polyharmonic operator
dc.typetext

Files

Collections

arXiv