On the Dirichlet problem for general augmented Hessian equations

Date

2020

Authors

Jiang, Feida
Trudinger, Neil

Journal Title

Journal ISSN

Volume Title

Publisher

Academic Press

Abstract

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.

Description

Keywords

Dirichlet problem, Augmented Hessian equations, Second derivative estimates, Regular matrix

Citation

Source

Journal of Differential Equations

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

CC BY-NC-ND

DOI

10.1016/j.jde.2020.04.004

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