Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong maximum principle and boundary estimates for nonhomogeneous
  elliptic equations   We give a simple proof of the strong maximum principle for viscosity
subsolutions of fully nonlinear elliptic PDEs on the form $$ F(x,u,Du,D^2u) = 0
$$ under suitable structure conditions on the equation allowing for
non-Lipschitz growth in the gradient terms. In case of smooth boundaries, we
also prove the Hopf lemma, the boundary Harnack inequality and that positive
viscosity solutions vanishing on a portion of the boundary are comparable with
the distance function near the boundary. Our results apply to weak solutions of
an eigenvalue problem for the variable exponent $p$-Laplacian.

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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex