Jiang, FeidaTrudinger, Neil2023-02-280022-0396http://hdl.handle.net/1885/286499In 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.Research supported by National Natural Science Foundation of China (No. 11771214)application/pdfen-AU© 2020 The authorshttp://creativecommons.org/licenses/by-nc-nd/4.0/Dirichlet problemAugmented Hessian equationsSecond derivative estimatesRegular matrix202010.1016/j.jde.2020.04.0042021-12-26CC BY-NC-ND