Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasilinear elliptic inequalities with Hardy potential and nonlocal
  terms   We study the quasilinear elliptic inequality $$ -\Delta_m u -
\frac{\mu}{|x|^m}u^{m-1} \geq (I_\alpha*u^p)u^q \quad\mbox{ in
}\mathbb{R}^N\setminus \overline B_1, N\geq 1, $$ where $p>0$, $q, \mu \in
\mathbb{R}$, $m>1$ and $I_\alpha$ is the Riesz potential of order $\alpha\in
(0,N)$. We obtain necessary and sufficient conditions for the existence of
positive solutions.

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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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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: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin