Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (1): 125-131.doi: 10.1016/S0252-9602(10)60028-8

• Articles • Previous Articles     Next Articles

INEQUALITIES OF EIGENVALUES FOR BI-KOHN LAPLACIAN ON |HEISENBERG GROUP

 HUANG Guang-Yue, CHEN Wen-Yi   

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • Received:2008-06-30 Revised:2008-10-10 Online:2010-01-20 Published:2010-01-20
  • Supported by:

    This research is supported by NSFC (10471108,  10631020).

Abstract:

In this article, we consider the eigenvalue problem for the bi-Kohn Laplacian and obtain universal bounds on the
(k+1)-th eigenvalue in terms of the first k eigenvalues independent of the domains.

Key words: eigenvalue, universal bounds, bi-Kohn Laplacian

CLC Number: 

  • 35P15
Trendmd