Exterior Dirichlet problem for Hessian equations on a non-convex ring
Analysis of PDEs
2025-08-25 v2
Abstract
In this paper, we prove the existence of a solution for the exterior Dirichlet problem for Hessian equations on a non-convex ring. Moreover, the solution we obtained is smooth. This extends the result of [Bao-Li-Li, ``On the exterior Dirichlet problem for Hessian equations'' Trans. Amer. Math. Soc.366(2014)].
Keywords
Cite
@article{arxiv.2507.08993,
title = {Exterior Dirichlet problem for Hessian equations on a non-convex ring},
author = {Yanyan Li and Ling Xiao},
journal= {arXiv preprint arXiv:2507.08993},
year = {2025}
}
Comments
Improved exposition