The Dirichlet Problem for degenerate Hessian Equations
Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia
Description
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.author | Ivochkina, Nina | |
---|---|---|
dc.contributor.author | Trudinger, Neil | |
dc.contributor.author | Wang, Xu-Jia | |
dc.date.accessioned | 2015-12-13T22:42:58Z | |
dc.identifier.issn | 0360-5302 | |
dc.identifier.uri | http://hdl.handle.net/1885/78986 | |
dc.description.abstract | 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.publisher | Marcel Dekker Inc. | |
dc.source | Communications in Partial Differential Equations | |
dc.subject | Keywords: Degenerate Hessian equations; Dirichlet problem; Second derivative estimates | |
dc.title | The Dirichlet Problem for degenerate Hessian Equations | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
local.identifier.citationvolume | 29 | |
dc.date.issued | 2004 | |
local.identifier.absfor | 010102 - Algebraic and Differential Geometry | |
local.identifier.absfor | 010110 - Partial Differential Equations | |
local.identifier.ariespublication | MigratedxPub7525 | |
local.identifier.ariespublication | MigratedxPub8164 | |
local.type.status | Published Version | |
local.contributor.affiliation | Ivochkina, Nina, University of St Petersburg | |
local.contributor.affiliation | Trudinger, Neil, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Wang, Xu-Jia, College of Physical and Mathematical Sciences, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.issue | 1-2 | |
local.bibliographicCitation.startpage | 219 | |
local.bibliographicCitation.lastpage | 235 | |
dc.date.updated | 2015-12-11T10:09:51Z | |
local.identifier.scopusID | 2-s2.0-1642310857 | |
Collections | ANU Research Publications |
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