Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (6): 1032-1040.

• Articles • Previous Articles     Next Articles

Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on the Heisenberg Group

 DU Feng1,2, WU Chuan-Xi1, LI Guang-Han1   

  1. 1.School of Mathematics and Computer Science, Hubei University, Wuhan 430062;
    2.School of Mathematics and Physics Science, Jingchu University of Technology, Hubei Jingmen 448000
  • Received:2011-09-03 Revised:2012-08-30 Online:2012-12-25 Published:2012-12-25
  • Contact: LI Guang-Han,liguanghan@163.com E-mail:defengdu123@163.com; cxwu@hubu.edu.cn; liguanghan@163.com
  • Supported by:

    国家自然科学基金(10971055, 11171096)、教育部博士点基金(20104208110002)、武汉市学科带头人计划(Z201051730002)和湖北省应用数学重点实验室项目资助

Abstract:

In this paper, the authors investigate eigenvalues of the elliptic operator in divergence form on the Heisenberg group and obtain its several universal inequalities.

Key words: Eigenvalue, Universal inequality, Elliptic operator in divergence form

CLC Number: 

  • 35P15
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