Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Plateau problem for marginally outer trapped surfaces   We solve the Plateau problem for marginally outer trapped surfaces in general
Cauchy data sets. We employ the Perron method and tools from geometric measure
theory to force and control a blow-up of Jang's equation. Substantial new
geometric insights regarding the lower order properties of marginally outer
trapped surfaces are gained in the process. The techniques developed in this
paper are flexible and can be adapted to other non-variational existence
problems.

1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th