Gagliardo-Nirenberg-Sobolev inequalities for convex domains in R<i><SUP>d</SUP></i>

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dc.contributor.authorBenguria, Rafael D.
dc.contributor.authorVallejos, Cristobal
dc.contributor.authorVan Den Bosch, Hanne
dc.date.accessioned2025-01-23T19:59:14Z
dc.date.available2025-01-23T19:59:14Z
dc.date.issued2019
dc.description.abstractA special type of Gagliardo-Nirenberg-Sobolev (GNS) inequalities in R-d has played a key role in several proofs of Lieb-Thirring inequalities. Recently, a need for GNS inequalities in convex domains of R-d, in particular for cubes, has arisen. The purpose of this manuscript is two-fold. First we prove a GNS inequality for convex domains, with explicit constants which depend on the geometry of the domain. Later, using the discrete version of Rumin's method, we prove GNS inequalities on cubes with improved constants.
dc.fuente.origenWOS
dc.identifier.eissn1945-001X
dc.identifier.issn1073-2780
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/100771
dc.identifier.wosidWOS:000506579100003
dc.issue.numero5
dc.language.isoen
dc.pagina.final1312
dc.pagina.inicio1291
dc.revistaMathematical research letters
dc.rightsacceso restringido
dc.titleGagliardo-Nirenberg-Sobolev inequalities for convex domains in R<i><SUP>d</SUP></i>
dc.typeartículo
dc.volumen26
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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