Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates for the higher order buckling eigenvalues in the unit sphere   We consider the higher order buckling eigenvalues of the following Dirichlet
poly-Laplacian in the unit sphere $(-\Delta)^p u=\Lambda (-\Delta) u$ 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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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas