Title

On the Dirichlet problem for general augmented Hessian equations

RIS ID

142515

Publication Details

Jiang, F. & Trudinger, N. (2020). On the Dirichlet problem for general augmented Hessian equations. Journal of Differential Equations,

Abstract

2020 In this paper we apply various first and second derivative estimates and barrier constructions from our treatment of oblique boundary value problems for augmented Hessian equations, to the case of Dirichlet boundary conditions. As a result we extend our previous results on the Monge-Ampère and k-Hessian cases to general classes of augmented Hessian equations in Euclidean space.

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Link to publisher version (DOI)

http://dx.doi.org/10.1016/j.jde.2020.04.004