Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlocal Schrodinger Equations for Integro-Differential Operators with
  Measurable Kernels and Asymptotic Potentials   In this paper, we investigate the existence of nonnegative solutions for the
problem $$ -\mathcal{L}_{K}u+V(x)u=f(u) $$ in $\mathbb R^n$, where
$-\mathcal{L}_{K}$ is a integro-differential operator with measurable kernel
$K$ and $V$ is a continuous potential. Under apropriate hypothesis, we prove,
using variational methods, that the above equation has solution.

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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph