Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-13T05:43:54.060Z Has data issue: false hasContentIssue false
  • English
  • Français

Comparison Theorems for the Eigenvalues of the Laplacian in the Unit Ball in RN

Published online by Cambridge University Press:  20 November 2018

Kin Ming Hui
Kin Ming Hui*
Affiliation:
Institute of Mathematics Academia Sinica Nankang, Taipei 11529 Taiwan R.O.C.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We obtain inequalities relating the eigenvalues of the Dirichlet and the Neumann problems for the Laplacian in the unit ball in Rn.

Keywords

34B25.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 2 , 01 June 1992 , pp. 214 - 217
Copyright
Copyright © Canadian Mathematical Society 1992 

References

1. Bandle, C. and Philippin, G., An inequality for eigenvalues of Sturm-Liouville problems, Proc. of Amer. Math. Soc. 100(1987), 34–36.Google Scholar
2. Courant, R. and Hilbert, D., Methods of mathematical physics, 1, Interscience, New York, 1953.Google Scholar
3. Ni, W. M., Some aspects ofsemilinear elliptic equations, National Tsing Hua University, Taiwan, R.O.C., 1987.Google Scholar
4. Weinberger, H. F., A first course in partial differential equations, Blaisdell Publishing Company, New York, 1965.Google Scholar
5. Yang, Y., A comparison of eigenvalues of two Sturm-Liouville problems, preprint.Google Scholar