Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalization of the Hopf-Cole transformation for stationary Mean
  Field Games systems   In this note we propose a transformation which decouples stationary Mean
Field Games systems with superlinear Hamiltonians of the form |p|^r, and turns
the Hamilton-Jacobi-Bellman equation into a quasi-linear equation involving the
r-Laplace operator. Such a transformation requires an assumption on solutions
of the system, which is satisfied for example in space dimension one or if
solutions are radial.

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The categories of this paper are: eess
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The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: nlin
7
The categories of this paper are: hep-th