Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of Monge-Ampere measures with Holder continuous
  potentials   We show that the complex Monge-Ampere equation on a compact Kaehler manifold
(X,\omega) of dimension n admits a Holder continuous omega-psh solution if and
only if its right-hand side is a positive measure with Holder continuous
super-potential. This property is true in particular when the measure has
locally Holder continuous potentials or when it belongs to the Sobolev space
W^{2n/p-2+epsilon,p}(X) or to the Besov space B^{epsilon-2}_{\infty,\infty}(X)
for some epsilon>0 and p>1.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th