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The Dirichlet Problem for degenerate Hessian Equations

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Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia

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In this paper, we study the Dirichlet problem for a class of fully nonlinear degenerate elliptic equations which depend only on the eigenvalues of the Hessian matrix. We provide a new and simpler approach to the estimation of second derivatives, through differentiation with respect to vector fields with skew-symmetric Jacobians.

dc.contributor.authorIvochkina, Nina
dc.contributor.authorTrudinger, Neil
dc.contributor.authorWang, Xu-Jia
dc.date.accessioned2015-12-13T22:42:58Z
dc.identifier.issn0360-5302
dc.identifier.urihttp://hdl.handle.net/1885/78986
dc.description.abstractIn this paper, we study the Dirichlet problem for a class of fully nonlinear degenerate elliptic equations which depend only on the eigenvalues of the Hessian matrix. We provide a new and simpler approach to the estimation of second derivatives, through differentiation with respect to vector fields with skew-symmetric Jacobians.
dc.publisherMarcel Dekker Inc.
dc.sourceCommunications in Partial Differential Equations
dc.subjectKeywords: Degenerate Hessian equations; Dirichlet problem; Second derivative estimates
dc.titleThe Dirichlet Problem for degenerate Hessian Equations
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume29
dc.date.issued2004
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.absfor010110 - Partial Differential Equations
local.identifier.ariespublicationMigratedxPub7525
local.identifier.ariespublicationMigratedxPub8164
local.type.statusPublished Version
local.contributor.affiliationIvochkina, Nina, University of St Petersburg
local.contributor.affiliationTrudinger, Neil, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationWang, Xu-Jia, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue1-2
local.bibliographicCitation.startpage219
local.bibliographicCitation.lastpage235
dc.date.updated2015-12-11T10:09:51Z
local.identifier.scopusID2-s2.0-1642310857
CollectionsANU Research Publications

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