Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inequalities for eigenvalues of the buckling problem of arbitrary order   This paper studies eigenvalues of the buckling problem of arbitrary order on
bounded domains in Euclidean spaces and spheres. We prove universal bounds for
the k-th eigenvalue in terms of the lower ones independent of the domains. Our
results strengthen the recent work in [28] and generalize Cheng-Yang's recent
estimates [16] on the buckling eigenvalues of order two to arbitrary order.

10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat