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A potential theory for the k-curvature equation

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dc.contributor.authorDai, Qiuyi
dc.contributor.authorWang, Xu-Jia
dc.contributor.authorZhou, Bin
dc.date.accessioned2016-06-14T23:20:27Z
dc.date.issued2016
dc.date.updated2016-06-14T08:49:13Z
dc.description.abstractIn this paper, we introduce a potential theory for the k-curvature equation, which can also be seen as a PDE approach to curvature measures. We assign a measure to a bounded, upper semicontinuous function which is strictly subharmonic with respect to the k-curvature operator, and establish the weak continuity of the measure.
dc.identifier.issn0001-8708
dc.identifier.urihttp://hdl.handle.net/1885/103386
dc.publisherAcademic Press
dc.sourceAdvances in Mathematics
dc.titleA potential theory for the k-curvature equation
dc.typeJournal article
local.bibliographicCitation.lastpage824
local.bibliographicCitation.startpage791
local.contributor.affiliationDai, Qiuyi, Hunan Normal University
local.contributor.affiliationWang, Xu-Jia, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationZhou, Bin, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidWang, Xu-Jia, u9514427
local.contributor.authoruidZhou, Bin, u4497234
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationU3488905xPUB6745
local.identifier.citationvolume288
local.identifier.doi10.1016/j.aim.2015.11.003
local.identifier.scopusID2-s2.0-84947568600
local.type.statusPublished Version

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