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arxiv: 0910.2063 · v1 · submitted 2009-10-12 · 🧮 math.DG · math.AP

Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order

J\"urgen Jost , Xianqing Li-Jost , Qiaoling Wang , Changyu Xia This is my paper
classification 🧮 math.DG math.AP
keywords eigenvaluesarbitrarybucklingorderproblemuniversalboundscompact
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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 $k$th eigenvalue in terms of the lower eigenvalues independently of the particular geometry of the domain.

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