Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A primal dual formulation through a proximal approach for non-convex
  variational optimization   This article develops a primal dual formulation for a primal proximal
approach suitable for a large class of non-convex models in the calculus of
variations. The results are established through standard tools of functional
analysis, convex analysis and duality theory and are applied to a
Ginzburg-Landau type model. Finally, in the last two sections, we present
concerning optimal conditions and another related duality principle for the
model in question.

10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas