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On the Dirichlet problem for a class of augmented Hessian equations

Jiang, Feida; Trudinger, Neil; Yang, Xiao-Ping


In this paper, we consider the Dirichlet problem for a new class of augmented Hessian equations. Under sharp assumptions that the matrix function in the augmented Hessian is regular and there exists a smooth subsolution, we establish global second order derivative estimates for the solutions to the Dirichlet problem in bounded domains. The results extend the corresponding results in the previous paper [12] from the Monge-Ampère type equations to the more general Hessian type equations.

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Journal of Differential Equations
DOI: 10.1016/j.jde.2014.11.005


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