On the Dirichlet problem for general augmented Hessian equations
Analysis of PDEs
2019-08-01 v2
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-Ampere and k-Hessian cases to general classes of augmented Hessian equations in Euclidean space
Cite
@article{arxiv.1903.12410,
title = {On the Dirichlet problem for general augmented Hessian equations},
author = {Feida Jiang and Neil S. Trudinger},
journal= {arXiv preprint arXiv:1903.12410},
year = {2019}
}
Comments
This paper is a spin-off from our treatment of oblique boundary value problems which was first posted on arXiv in 2015 and replaces earlier drafts