黎曼流形上一类算子的低阶特征值估计（英文）

ESTIMATES FOR LOWER ORDER EIGENVALUES OF A CLASS OF OPERATORS ON RIEMANNIAN MANIFOLD

本文研究n(≥2)维完备黎曼流形M的有界区域?上算子的低阶特征值估计问题.利用RayleighRitz不等式,获得了该算子低阶特征值的万有不等式.

In this paper, we investigate the boundary value problem of the operator. By the Rayleigh-Ritz inequality, we obtain universal inequalities for lower order eigenvalues of these operator.