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arXiv · 0908.4439

Estimates for the higher order buckling eigenvalues in the unit sphere

Guangyue Huang·Xingxiao Li·Xuerong Qi
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Abstract

We consider the higher order buckling eigenvalues of the following Dirichlet poly-Laplacian in the unit sphere $(-Δ)^p u=Λ(-Δ) u$ with order $p(\geq2)$. We obtain universal bounds on the $(k+1)$th eigenvalue in terms of the first $k$th eigenvalues independent of the domains. In particular, for $p=2$, our result is sharp than estimates on eigenvalues of the buckling problem obtained by Wang and Xia.

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Guangyue Huang, Xingxiao Li, Xuerong Qi. 2009-08-31. Estimates for the higher order buckling eigenvalues in the unit sphere. https://arxiv.org/abs/0908.4439

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