Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A saddle-point approach to the Monge-Kantorovich optimal transport
  problem   The Monge-Kantorovich problem is revisited by means of a variant of the
saddle-point method without appealing to $c$-conjugates. A new abstract
characterization of the optimal plans is obtained in the case where the cost
function takes infinite values. It leads us to new explicit sufficient and
necessary optimality conditions. As by-products, we obtain a new proof of the
well-known Kantorovich dual equality and an improvement of the convergence of
the minimizing sequences.

13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat