Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interior curvature estimates for hypersurfaces of prescribing scalar
  curvature in dimension three   We prove a priori interior curvature estimates for hypersurfaces of
prescribing scalar curvature equations in dimension three. The method is
motivated by the integral method of Warren and Yuan. The new observation here
is that the "Lagrangian" submanifold constructed similarly as Harvey and Lawson
has bounded mean curvature if the graph function of a hypersurface satisfies
the scalar curvature equation.

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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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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: econ
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an