@Article{JPDE-36-102,
author = {Gao , ZhenghuanJia , Xiaohan and Yan , Jin},
title = {Serrin-Type Overdetermined Problem in $\mathbb H^n$},
journal = {Journal of Partial Differential Equations},
year = {2022},
volume = {36},
number = {1},
pages = {102--118},
abstract = {<p style="text-align: justify;">In this paper, we prove the symmetry of the solution to overdetermined problem for the equation $\sigma_k(D^2u-uI)=C_n^k$ 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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v36.n1.7},
url = {http://global-sci.org/intro/article_detail/jpde/21296.html}
}