Carnot群上水平Laplace算子的二次多项式算子的特征值不等式  

EIGENVALUE INEQUALITIES FOR QUADRATIC POLYNOMIAL OPERATOR OF THE HORIZONTAL LAPLACIAN ON A CARNOT GROUP

作　　者：董凯伦 孙和军[1] 江绪永 DONG Kai-lun;SUN He-jun;JIANG Xu-yong(College of Science,Nanjing University of Science and Technology,Nanjing 210014,China)

机构地区：[1]南京理工大学理学院,江苏南京210014

出　　处：《数学杂志》2020年第3期291-300,共10页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11001130);Fundamental Research Funds for the Central Universities(30917011335);Scientific Research Innovation Project of Jiangsu Province(KYCX17-0327)。

摘　　要：本文研究了Carnot群上水平Laplace算子的二次多项式算子的Dirichlet特征值问题,并建立了一些特征值不等式.特别地,我们的结果涵盖了文献[10]对双调和水平Laplace算子所获得的结果.In this paper,we investigate the Dirichlet eigenvalue problem of quadratic polynomial operator of the horizontal Laplacian on a Carnot group and establish some inequalities for its eigenvalues,which cover the results of[10]for the biharmonic horizontal Laplacian.

关 键 词：特征值 不等式 水平Laplace算子 CARNOT群 

分 类 号：O175.9[理学—数学] O186.1[理学—基础数学]