Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order

2009/10/12 by Jürgen Jost, Xianqing Li‐Jost, Jost, Jürgen +5 · 1 citation
Engineering · #Elasticity and Wave Propagation #Composite Structure Analysis and Optimization #Structural Behavior of Reinforced Concrete

paper · pdf · doi:10.48550/arxiv.0910.2063

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.

Citations

• Universal bounds on eigenvalues of the buckling problem on spherical domains

Cited by

• Sharp inequalities and asymptotics for polyharmonic eigenvalues

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