Serrin-type Overdetermined problems in $\mathbb H^n$
Analysis of PDEs
2022-01-13 v1
Abstract
In this paper, we prove the symmetry of the solution to overdetermined problem for the equation in hyperbolic space. Our approach is based on establishing a Rellich-Pohozaev type identity and using a P function. Our result generalizes the overdetermined problem for Hessian equation in Euclidean space.
Keywords
Cite
@article{arxiv.2201.04323,
title = {Serrin-type Overdetermined problems in $\mathbb H^n$},
author = {Zhenghuan Gao and Xiaohan Jia and Jin Yan},
journal= {arXiv preprint arXiv:2201.04323},
year = {2022}
}