The Dirichlet Problem for degenerate Hessian Equations

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

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The Dirichlet Problem for degenerate Hessian Equations

Date

2004

Authors

Ivochkina, Nina

Trudinger, Neil

Wang, Xu-Jia

Publisher

Marcel Dekker Inc.

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.

Keywords

Keywords: Degenerate Hessian equations; Dirichlet problem; Second derivative estimates

URI

http://hdl.handle.net/1885/78986

Collections

ANU Research Publications

Source

Communications in Partial Differential Equations

Type

Journal article

Restricted until

2037-12-31

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The Dirichlet Problem for degenerate Hessian Equations

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