Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The obstacle problem for a fractional Monge--Amp\`ere equation   We study the obstacle problem for a nonlocal, degenerate elliptic
Monge--Amp\`ere equation. We show existence and regularity of a unique
classical solution to the problem and regularity of the free boundary.

21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin