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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/23044
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dc.contributor.authorZhang, Xuemeien
dc.contributor.authorDu, Yihongen
dc.date.accessioned2018-05-20T16:28:00Z-
dc.date.issued2018-
dc.identifier.citationCalculus of Variations and Partial Differential Equations, 57(2), p. 1-24en
dc.identifier.issn1432-0835en
dc.identifier.issn0944-2669en
dc.identifier.urihttps://hdl.handle.net/1959.11/23044-
dc.description.abstractIn this paper we give sharp conditions on K(x) and f (u) for the existence of strictly convex solutions to the boundary blow-up Monge-Ampère problem M[u](x) = K(x) f (u) for x ∈ Ω, u(x)→+∞ as dist(x, ∂Ω) → 0. Here M[u] = det (uxi x j ) is the Monge-Ampère operator, and Ω is a smooth, bounded, strictly convex domain in RN (N ≥ 2). Further results are obtained for the special case that Ω is a ball. Our approach is largely based on the construction of suitable sub- and super-solutions.en
dc.languageenen
dc.publisherSpringeren
dc.relation.ispartofCalculus of Variations and Partial Differential Equationsen
dc.titleSharp conditions for the existence of boundary blow-up solutions to the Monge–Ampère equationen
dc.typeJournal Articleen
dc.identifier.doi10.1007/s00526-018-1312-3en
dc.subject.keywordsPartial Differential Equationsen
local.contributor.firstnameXuemeien
local.contributor.firstnameYihongen
local.subject.for2008010110 Partial Differential Equationsen
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailydu@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordune-chute-20180302-120018en
local.publisher.placeGermanyen
local.identifier.runningnumber30en
local.format.startpage1en
local.format.endpage24en
local.identifier.scopusid85042125503en
local.peerreviewedYesen
local.identifier.volume57en
local.identifier.issue2en
local.contributor.lastnameZhangen
local.contributor.lastnameDuen
dc.identifier.staffune-id:yduen
local.profile.orcid0000-0002-1235-0636en
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:23228en
local.identifier.handlehttps://hdl.handle.net/1959.11/23044en
dc.identifier.academiclevelAcademicen
local.title.maintitleSharp conditions for the existence of boundary blow-up solutions to the Monge–Ampère equationen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.relation.grantdescriptionARC/DP170103087en
local.search.authorZhang, Xuemeien
local.search.authorDu, Yihongen
local.uneassociationUnknownen
local.identifier.wosid000431004800012en
local.year.published2018en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/7d73a81d-4b2c-47a7-aa60-8208e2e04600en
local.subject.for2020490410 Partial differential equationsen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
local.codeupdate.date2021-11-05T10:56:20.712en
local.codeupdate.epersonydu@une.edu.auen
local.codeupdate.finalisedtrueen
local.original.for2020490410 Partial differential equationsen
local.original.seo2020280118 Expanding knowledge in the mathematical sciencesen
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