Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order |
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| Authors: | Jürgen Jost Xianqing Li-Jost Qiaoling Wang |
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| Institution: | 1. Max Planck Institute for Mathematics in the Sciences , Leipzig, Germany;2. Departamento de Matemática , UnB , Brasília-DF, Brazil |
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| Abstract: | We investigate the eigenvalues of the buckling problem of arbitrary order on compact domains in Euclidean spaces and spheres. We obtain universal bounds for the kth eigenvalue in terms of the lower eigenvalues independently of the particular geometry of the domain. |
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| Keywords: | Buckling problem Eigenvalues Euclidean space Sphere Universal bounds |
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