Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular mean field equations on compact Riemann surfaces   For a general class of elliptic PDE's in mean field form on compact Riemann
surfaces with exponential nonlinearity, we address the question of the
existence of solutions with concentrated nonlinear term, which, in view of the
applications, are physically of definite interest. In the model, we also
include the possible presence of singular sources in the form of Dirac masses,
which makes the problem more degenerate and difficult to attack.

30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th