Universal Inequalities for Eigenvalues of the Buckling Problem on Spherical Domains

• DOI: 10.1007/s00220-006-0170-6
• Publication Date: 2007-01-08T08:54:32Z
• Authors: Qiaoling Wang; Changyu Xia
• Keywords: Unit sphere

In this paper we study the eigenvalues of the buckling problem on domains in a unit sphere. We obtain universal bounds on the (k + 1)th eigenvalue in terms of the first k eigenvalues independent of the domains.