Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A primal dual variational formulation suitable for a large class of
  non-convex problems in optimization   In this article we develop a new primal dual variational formulation suitable
for a large class of non-convex problems in the calculus of variations. The
results are obtained through basic tools of convex analysis, duality theory,
the Legendre transform concept and the respective relations between the primal
and dual variables. The novelty here is that the dual formulation is
established also for the primal variables, however with a large domain region
of concavity about a critical point. Finally, we formally prove there is no
duality gap between the primal and dual formulations in a local extremal
context.

8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph