Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the H\"older continuous subsolution problem for the complex
  Monge-Amp\`ere equation   We give a necessary and sufficient condition for positive Borel measures such
that the Dirichlet problem, with zero boundary data, for the complex
Monge-Amp\`ere equation admits H\"older continuous plurisubharmonic solutions.
In particular, when the subsolution has finite Monge-Amp\`ere total mass, we
obtain an affirmative answer to a question of Zeriahi.

0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex