|
|||||
|
|
Eigenvalues of the buckling problem of arbitrary order and of the polyharmonic operator on Ricci flat manifolds |
|
| Authors: | Feng Du Chuanxi Wu Guanghan Li Changyu Xia |
| Institution: | 1. School of Mathematics and Statistics, Hubei University, Wuhan 430062, PR China;2. School of Mathematics and Physics Science, Jingchu University of Technology, Jingmen, 448000, PR China;3. Departamento de Matemática, Universidade de Brasilia, 70910-900, Brasilia, DF, Brazil |
| Abstract: | In this paper, we study eigenvalues of the buckling problem of arbitrary order and of the polyharmonic operator on bounded domains in Ricci flat manifolds supporting a special function and obtain universal bounds on the (k+1)th eigenvalue in terms of the first k eigenvalues independent of the domains. |
| Keywords: | Eigenvalues Universal bounds Ricci flat manifold Buckling problem Polyharmonic operator |
| 本文献已被 ScienceDirect 等数据库收录！ | |