Serrin-Type Overdetermined Problem in $\mathbb H^n$
Abstract
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.
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How to Cite
Serrin-Type Overdetermined Problem in $\mathbb H^n$. (2023). Journal of Partial Differential Equations, 36(1), 102-118. https://doi.org/10.4208/jpde.v36.n1.7
