On the Dirichlet problem for a class of augmented Hessian equations
Analysis of PDEs
2014-03-27 v2
Abstract
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 [11] from the Monge-Ampere type equations to the more general Hessian type equations.
Cite
@article{arxiv.1402.2347,
title = {On the Dirichlet problem for a class of augmented Hessian equations},
author = {Feida Jiang and Neil S. Trudinger and Xiao-Ping Yang},
journal= {arXiv preprint arXiv:1402.2347},
year = {2014}
}
Comments
Some minor revision and corrections made to previous version