Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates and Existence Results for some Fully Nonlinear Elliptic
  Equations on Riemannian Manifolds   We prove estimates and existence results for some fully nonlinear elliptic
equations on Riemannian manifolds. These equations are not arbitrary, but arise
naturally in the study of conformal geometry.

28
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: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys