Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison principle for unbounded viscosity solutions of degenerate
  elliptic PDEs with gradient superlinear terms   We are concerned with fully nonlinear possibly degenerate elliptic partial
differential equations (PDEs) with superlinear terms with respect to $Du$. We
prove several comparison principles among viscosity solutions which may be
unbounded under some polynomial-type growth conditions. Our main result applies
to PDEs with convex superlinear terms but we also obtain some results in
nonconvex cases. Applications to monotone systems of PDEs are given.

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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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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: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg