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Oblique boundary value problems for augmented Hessian equations II

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dc.contributor.authorJiang, Feida
dc.contributor.authorTrudinger, Neil
dc.date.accessioned2021-08-23T00:12:14Z
dc.date.issued2017
dc.date.updated2020-11-23T10:53:36Z
dc.description.abstractIn this paper, we continue our investigations into the global theory of oblique boundary value problems for augmented Hessian equations. We construct a global barrier function in terms of an admissible function in a uniform way when the matrix function in the augmented Hessian is only assumed regular. This enables us to derive global second derivative estimates in terms of boundary estimates which are then obtained by strengthening the concavity or monotonicity conditions in our previous work on the strictly regular case. Finally we give some applications to existence theorems which embrace standard Hessian equations as special cases.en_AU
dc.description.sponsorshipResearch supported by National Natural Science Foundation of China (No. 11401306), Australian Research Council (No. DP1094303), China Postdoctoral Science Foundation (No. 2015M571010) and Jiangsu Natural Science Foundation of China (No. BK20140126).en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0362-546Xen_AU
dc.identifier.urihttp://hdl.handle.net/1885/244962
dc.language.isoen_AUen_AU
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/4663..."The Accepted Version can be archived in an Institutional Repository. 24 Months. CC BY-NC-ND." from SHERPA/RoMEO site (as at 7/09/2021).
dc.publisherElsevier Ltden_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP1094303en_AU
dc.rights© 2016 Elsevier Ltden_AU
dc.rights.licenseCC BY-NC-ND
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceNonlinear Analysisen_AU
dc.subjectOblique boundary value problemen_AU
dc.subjectAugmented Hessian equationsen_AU
dc.subjecta priorien_AU
dc.titleOblique boundary value problems for augmented Hessian equations IIen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Access
local.bibliographicCitation.lastpage173en_AU
local.bibliographicCitation.startpage148en_AU
local.contributor.affiliationJiang, Feida, Tsinghua Universityen_AU
local.contributor.affiliationTrudinger, Neil, College of Science, ANUen_AU
local.contributor.authoruidTrudinger, Neil, u7301385en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010107 - Mathematical Logic, Set Theory, Lattices and Universal Algebraen_AU
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciencesen_AU
local.identifier.ariespublicationa383154xPUB4754en_AU
local.identifier.citationvolume154en_AU
local.identifier.doi10.1016/j.na.2016.08.007en_AU
local.identifier.scopusID2-s2.0-85009228770
local.identifier.thomsonID000396972800009
local.publisher.urlhttps://www.elsevier.com/en-auen_AU
local.type.statusAccepted Versionen_AU

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