论文标题
$ \ mathbb h^n $中的锯齿蛋白型问题过高
Serrin-type Overdetermined problems in $\mathbb H^n$
论文作者
论文摘要
在本文中，我们证明了解决方案$σ_K（d^2U-ui）= C_n^k $在双曲线空间中的对称性的对称性。我们的方法基于建立Rellich-Pohozaev型身份并使用P函数。我们的结果概括了欧几里得空间中Hessian方程的过度确定问题。
In this paper, we prove the symmetry of the solution to overdetermined problem for the equation $σ_k(D^2u-uI)=C_n^k$ 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.
