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October 2, 2025Open Access

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

Key Points

A solution exists for the exterior dirichlet problem on a non-convex ring.
The obtained solution is smooth, extending previous findings on hessian equations.
This extends the results of prior work on the exterior dirichlet problem in a significant manner.
The study contributes to the understanding of hessian equations in non-convex domains.

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).

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Cite This Study

Li et al. (Fri,) studied this question.

synapsesocial.com/papers/68de5d9c83cbc991d0a202a7 https://doi.org/https://doi.org/10.48550/arxiv.2507.08993

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