Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The vanishing discount problem for monotone systems of Hamilton-Jacobi
  equations. Part 2: Nonlinear coupling   We study the vanishing discount problem for a nonlinear monotone system of
Hamilton-Jacobi equations. This continues the first author's investigation on
the vanishing discount problem for a monotone system of Hamilton-Jacobi
equations. As in Part 1, we introduce by the convex duality Mather measures and
their analogues for the system, which we call respectively Mather and
Green-Poisson measures, and prove a convergence theorem for the vanishing
discount problem. Moreover, we establish an existence result for the ergodic
problem.

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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga