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New maximum principles for linear elliptic equations

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Kuo, Hung-Ju; Trudinger, Neil

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We prove extensions of the estimates of Aleksandrov and Bakel'man for linear elliptic operators in Euclidean space ℝn to inhomogeneous terms in Lq spaces for q < n. Our estimates depend on restrictions on the ellipticity of the operators determined by c

dc.contributor.authorKuo, Hung-Ju
dc.contributor.authorTrudinger, Neil
dc.date.accessioned2015-12-07T22:32:33Z
dc.identifier.issn0022-2518
dc.identifier.urihttp://hdl.handle.net/1885/22869
dc.description.abstractWe prove extensions of the estimates of Aleksandrov and Bakel'man for linear elliptic operators in Euclidean space ℝn to inhomogeneous terms in Lq spaces for q < n. Our estimates depend on restrictions on the ellipticity of the operators determined by c
dc.publisherIndiana University Press
dc.sourceIndiana University Mathematics Journal
dc.subjectKeywords: Green's function; K-Hessian operator; Linear elliptic equations; Local estimates; Maximum principles
dc.titleNew maximum principles for linear elliptic equations
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume56
dc.date.issued2007
local.identifier.absfor010110 - Partial Differential Equations
local.identifier.ariespublicationu3169606xPUB24
local.type.statusPublished Version
local.contributor.affiliationKuo, Hung-Ju, National Chung-Hsing University
local.contributor.affiliationTrudinger, Neil, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue5
local.bibliographicCitation.startpage2439
local.bibliographicCitation.lastpage2452
local.identifier.doi10.1512/iumj.2007.56.3073
dc.date.updated2015-12-07T10:21:33Z
local.identifier.scopusID2-s2.0-39049134677
CollectionsANU Research Publications

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