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| 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. |
| 关键词: 特征值 不等式 水平Laplace算子 Carnot群 |
| DOI： |
| 分类号:O175.9;O186.1 |
| 基金项目: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). |
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| EIGENVALUE INEQUALITIES FOR QUADRATIC POLYNOMIAL OPERATOR OF THE HORIZONTAL LAPLACIAN ON A CARNOT GROUP |
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DONG Kai-lun,SUN He-jun,JIANG Xu-yong
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| 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. |
| Key words: eigenvalue inequality horizontal Laplacian Carnot group |
