Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity and estimates for multimarginal optimal transportation
  problems with singular costs   We consider some repulsive multimarginal optimal transportation problems
which include, as a particular case, the Coulomb cost. We prove a regularity
property of the minimizers (optimal transportation plan) from which we deduce
existence and some basic regularity of a maximizer for the dual problem
(Kantorovich potential). This is then applied to obtain some estimates of the
cost and to the study of continuity properties.

28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
9
The categories of this paper are: nlin