Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weakly solutions to the complex Monge-Amp\`ere equation on bounded
  plurifinely hyperconvex domains   Let $\mu$ be a non-negative measure defined on bounded $\mathcal
F$-hyperconvex domain $\Omega$. We are interested in giving sufficient
conditions on $\mu$ such that we can find a plurifinely plurisubharmonic
function satisfying $NP (dd^c u)^n =\mu$ in $QB(\Omega)$.

15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph