论文标题
在拉普拉斯的第二个罗宾特征值
On the second Robin eigenvalue of the Laplacian
论文作者
论文摘要
我们研究了Riemannian歧管上Laplace-Beltrami操作员的Robin特征值问题。我们的第一个结果是在歧管上的测地球上第二杆特征值的比较定理，其截面曲率从上方界定。我们的第二个结果断言，非弧形弯曲空间中的测量球最大化了同一体积的有界域之间的第二个罗宾特征值。
We study the Robin eigenvalue problem for the Laplace-Beltrami operator on Riemannian manifolds. Our first result is a comparison theorem for the second Robin eigenvalue on geodesic balls in manifolds whose sectional curvatures are bounded from above. Our second result asserts that geodesic balls in nonpositively curved space forms maximize the second Robin eigenvalue among bounded domains of the same volume.
