Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pogorelov type estimates for a class of Hessian quotient equations in
  Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$   Let $\Omega$ be a bounded domain (with smooth boundary) on the hyperbolic
plane $\mathscr{H}^{n}(1)$, of center at origin and radius $1$, in the
$(n+1)$-dimensional Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$. In this
paper, by using a priori estimates, we can establish Pogorelov type estimates
of $k$-convex solutions to a class of Hessian quotient equations defined over
$\Omega\subset\mathscr{H}^{n}(1)$ and with the vanishing Dirichlet boundary
condition.

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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: nlin