On the exterior Dirichlet problem for Hessian equations
Analysis of PDEs
2011-12-21 v1
Abstract
In this paper, we establish a theorem on the existence of the solutions of the exterior Dirichlet problem for Hessian equations with prescribed asymptotic behavior at infinity. This extends a result of Caffarelli and Li for the Monge-Amp\`{e}re equation to Hessian equations.
Cite
@article{arxiv.1112.4665,
title = {On the exterior Dirichlet problem for Hessian equations},
author = {Jiguang Bao and Haigang Li and Yanyan Li},
journal= {arXiv preprint arXiv:1112.4665},
year = {2011}
}
Comments
19 pages