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, II   We solve the Dirichlet problem for the complex Monge-Amp\`ere equation on a
strictly pseudoconvex with the right hand side being a positive Borel measure
which is dominated by the Monge-Amp\`ere measure of a H\"older continuous
plurisubharmonic function. If the boundary data is continuous, then the
solution is continuous. If the boundary is H\"older continuous, then the
solution is also H\"older continuous. In particular, the answer to a question
of A. Zeriahi is always affirmative.

10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc