黎曼流形上散度型算子的低阶特征值估计(英文)  

ESTIMATES FOR LOWER ORDER EIGENVALUES FOR OPERATORS IN DIVERGENCE FORM ON RIEMANNIAN MANIFOLDS

作　　者：张晶[1] 马冰清[1] 

机构地区：[1]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《数学杂志》2013年第5期761-766,共6页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11001076);NSF of Henan Provincial Education Department(2010A110008)

摘　　要：本文研究黎曼流形上散度型算子的低阶特征值.利用Rayleigh-Ritz不等式,得到了这种算子的低阶特征值所满足的一个不等式.而且,对于拉普拉斯算子的低阶特征值,本文的结果是最佳的.Eigenvalues of operators in divergence form with a weight on Riemannian man- ifolds are considered. By the Rayleigh-Ritz inequality, we obtain universal inequalities for lower order eigenvalues of such operators. In particular, for lower order eigenvalues of Laplacian, our results are sharp.

关 键 词：低阶特征值 Rayleigh—Ritz不等式 散度型算子 

分 类 号：O175.9[理学—数学]