paper

Exterior Dirichlet problem for Hessian equations on a non-convex ring

arXiv:2507.08993

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)].

Improved exposition

Exterior Dirichlet problem for Hessian equations on a non-convex ring · wovepaper