论文标题
第四阶椭圆运算符的特征值的不平等，以完全的riemannian歧管形式
Inequalities for eigenvalues of fourth-order elliptic operators in divergence form on complete Riemannian manifolds
论文作者
论文摘要
我们证明了在完全的riemannian歧管上以加权差异形式的第四阶椭圆算子的特征值的Payne-pólya-Weinberger-yang类型的某些不平等，从而概括了夹紧板块问题的相应结果。我们还证明了包含文献中一些估计值的低阶特征值的估计值。作为我们结果的应用，我们获得了双拖到cheng-yau运营商的特征值估计。
We prove some inequalities of Payne-Pólya-Weinberger-Yang type for eigenvalues of fourth-order elliptic operators in weighted divergence form on complete Riemannian manifolds which generalizes the corresponding result for the clamped plate problem. We also prove estimates for lower order eigenvalues that contain some of the estimates from the literature. As an application of our results, we obtain eigenvalues estimates for the bi-drifted Cheng-Yau operator.
