Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinity harmonic functions over exterior domains   In this paper, we study the infinity harmonic functions with linear growth
rate at infinity defined on exterior domains. We show that such functions must
be asymptotic to planes or cones at infinity. We also establish the solvability
of Dirichlet problems for exterior domains.

27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con