Skip navigation
Skip navigation

On the Dirichlet problem for a class of augmented Hessian equations

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

Description

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
URI: http://hdl.handle.net/1885/56123
Source: Journal of Differential Equations
DOI: 10.1016/j.jde.2014.11.005

Download

File Description SizeFormat Image
01_Jiang_On_the_Dirichlet_problem_for_a_2015.pdf422.17 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator