Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lyapunov type Inequality for Indefinite Weights and Eigenvalue
  Homogenization   In this paper we prove a Lyapunov type inequality for quasilinear problems
with indefinite weights. We show that the first eigenvalue is bounded below in
terms of the integral of the weight, instead of the integral of its positive
part. We apply this inequality to some eigenvalue homogenization problems with
indefinite weights.

33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics