Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Einstein Constraint Equations on Compact Manifolds with Boundary   We continue the study of the Einstein constraint equations on compact
manifolds with boundary initiated by Holst and Tsogtgerel. In particular, we
consider the full system and prove existence of solutions in both the near-CMC
and far-from-CMC (for Yamabe positive metrics) cases. We also make partial
progress in proving the results of previous "limit equation" papers by Dahl,
Gicquaud, Humbert and Sakovich.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio