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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.

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
URI: http://hdl.handle.net/1885/78986
Source: Communications in Partial Differential Equations

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