数学杂志2020,Vol.40Issue(3):291-300,10.
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
摘要
Abstract
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Key words
eigenvalue/inequality/horizontal Laplacian/Carnot group分类
数理科学引用本文复制引用
董凯伦,孙和军,江绪永..Carnot群上水平Laplace算子的二次多项式算子的特征值不等式[J].数学杂志,2020,40(3):291-300,10.基金项目
Supported by National Natural Science Foundation of China (11001130) (11001130)
Fundamental Research Funds for the Central Universities (30917011335) (30917011335)
Scientific Research Innovation Project of Jiangsu Province (KYCX17-0327). (KYCX17-0327)