Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (3): 467-475.

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Estimates for Eigenvalues of the Operator in Divergence Form on H-Type Group

Tan Shenyang1, Huang Tiren2, Liu Dajin1   

  1. 1 Taizhou Institute of Sciences Technology, NUST, Jiangsu Taizhou 225300;
    2 Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018
  • Received:2016-05-31 Revised:2017-07-26 Online:2018-06-26 Published:2018-06-26
  • Supported by:
    Supported by the NSFC (11401531) and the Natural Science Foundation of the Jiangsu Higher Education Institutions (17KJD110004)

Abstract: In this paper, we investigate the eigenvalue problem of the operator in divergence form -divG+〈▽G,▽Gψ〉+V on Heisenberg-type group. we obtain a first Yang-type inequality for eigenvalues of this problem. We also get second Yang type inequality.

Key words: Heisenberg-type group, Eigenvalue estimates, Divergence operator

CLC Number: 

  • O186
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