IJPAM: Volume 25, No. 2 (2005)
INEQUALITIES FOR EIGENVALUES OF
POLYNOMIALS OF THE LAPLACIAN OPERATOR
POLYNOMIALS OF THE LAPLACIAN OPERATOR
Zu-Chi Chen
, Xiang-Di Huang
Department of Mathematics
University of Science and Technology of China
Hefei, Anhui, 230026, P.R. CHINA
e-mail: chenzc@ustc.edu.cn
Department of Mathematics
The Chinese University of Hong Kong
Shatin N.T., HONG KONG, P.R. CHINA
, Xiang-Di Huang
Department of Mathematics
University of Science and Technology of China
Hefei, Anhui, 230026, P.R. CHINA
e-mail: chenzc@ustc.edu.cn
Department of Mathematics
The Chinese University of Hong Kong
Shatin N.T., HONG KONG, P.R. CHINA
Abstract.Estimates for the upper bounds of eigenvalues to a kind of polynomials of the Laplace operator is obtained by using the variation method. These results are brand new and essentially different from the works done before by other mathematicians and us.
Received: July 18, 2005
AMS Subject Classification: 35J65, 35J30
Key Words and Phrases: eigenvalue, polynomial, Rayleigh Theorem
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 25
Issue: 2
