论文标题
非compact等级1对称空间中的第二个罗宾特征值
The second Robin eigenvalue in non-compact rank-1 symmetric spaces
论文作者
论文摘要
在本文中，我们证明了在非紧凑型级别1对称空间中第二robin特征值的定量光谱不等式。特别是，这表明，对于非紧缩级别1对称空间中的有界域，测地球在同一体积的域之间最大化第二杆robin特征值，在连接第一个非平凡的noumann neumann和steklov eigenvalues的方案中具有负robin参数。这一结果概括了弗雷塔斯（Freitas）和说话的工作[fl21]以及我们先前在双曲空间中的工作[lww20]。
In this paper, we prove a quantitative spectral inequality for the second Robin eigenvalue in non-compact rank-1 symmetric spaces. In particular, this shows that for bounded domains in non-compact rank-1 symmetric spaces, the geodesic ball maximises the second Robin eigenvalue among domains of the same volume, with negative Robin parameter in the regime connecting the first nontrivial Neumann and Steklov eigenvalues. This result generalises the work of Freitas and Laugesen in the Euclidean setting [FL21] as well as our previous work in the hyperbolic space [LWW20].
