Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1133-1143.

• Articles • Previous Articles     Next Articles

Inequalities for Lower Order Eigenvalues of the Folland-Stein Operator and Quadratic Polynomial Operator of the Kohn Laplacian

 SUN He-Jun   

  1. Department of Applied Mathematics, College of Science, Nanjing University of Science and Technology, Nanjing 210094
  • Received:2013-06-20 Revised:2014-03-10 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    国家自然科学基金(11001130)资助.

Abstract:

In this paper, we investigate the Dirichlet eigenvalue problems of the Folland-Stein operator and quadratic polynomial operator of the Kohn Laplacian on the Heisenberg group. We establish some inequalities for their lower order eigenvalues.

Key words: Eigenvalue, Heisenberg group, Folland-Stein operator, Kohn Laplacian

CLC Number: 

  • 35P15
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