A Serrin-type over-determined problem for Hessian equations in the exterior domain
Analysis of PDEs
2024-12-17 v1
Abstract
In this paper, we consider the Hessian equations in some exterior domain with prescribed asymptotic behavior at infinity and Dirichlet-Neumann conditions on its interior boundary. We obtain that there exists a unique bounded domain such that the over-determined problem admits a unique strictly convex solution.
Keywords
Cite
@article{arxiv.2412.11841,
title = {A Serrin-type over-determined problem for Hessian equations in the exterior domain},
author = {Bo Wang and Zhizhang Wang},
journal= {arXiv preprint arXiv:2412.11841},
year = {2024}
}