Gagliardo–Nirenberg–Sobolev inequalities for convex domains in Rd

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dc.catalogadorjlo
dc.contributor.authorBenguria Donoso, Rafael José Urbano
dc.contributor.authorVallejos Benavides, Cristóbal Ignacio
dc.contributor.authorVan Den Bosch, Hanne
dc.date.accessioned2023-11-10T17:52:48Z
dc.date.available2023-11-10T17:52:48Z
dc.date.issued2019
dc.description.abstractA special type of Gagliardo–Nirenberg–Sobolev (GNS) inequalities in Rd has played a key role in several proofs of Lieb–Thirring inequalities. Recently, a need for GNS inequalities in convex domains of Rd, 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 ofthe domain. Later, using the discrete version of Rumin’s method, we prove GNS inequalities on cubes with improved constants.
dc.fechaingreso.objetodigital2023-10-31
dc.format.extent22 páginas
dc.fuente.origenSIPA
dc.identifier.doi10.4310/mrl.2019.v26.n5.a3
dc.identifier.eissn1945-001X
dc.identifier.urihttp://dx.doi.org/10.4310/mrl.2019.v26.n5.a3
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/75289
dc.information.autorucInstituto de Física; Benguria Donoso, Rafael José Urbano; 0000-0002-0696-0876; 99598
dc.information.autorucInstituto de Física; Vallejos Benavides, Cristóbal Ignacio; 0000-0002-8327-2209; 232203
dc.issue.numero5
dc.language.isoen
dc.nota.accesoContenido completo
dc.pagina.final22
dc.pagina.inicio1
dc.revistaMathematical Research Letters
dc.rightsacceso abierto
dc.subjectMatemáticas
dc.subjectFísica
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleGagliardo–Nirenberg–Sobolev inequalities for convex domains in Rd
dc.typeartículo
dc.volumen26
sipa.codpersvinculados99598
sipa.codpersvinculados232203
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