Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A primal dual variational formulation and a multi-duality principle for
  a non-linear model of plates   This article develops a new primal dual formulation for the Kirchhoff-Love
non-linear plate model. At first we establish a duality principle which
includes sufficient conditions of global optimality through the dual
formulation. At this point we highlight this first duality principle is
specially suitable for the case in which the membrane stress tensor is negative
definite. In a second step, from such a general principle, we develop a primal
dual variational formulation which also includes the corresponding sufficient
conditions for global optimality. The results are based on standard tools of
convex analysis and on a well known Toland result for D.C. optimization.
Finally, in the last section, we present a multi-duality principle and
qualitative relations between the critical points of the primal and dual
formulations. We formally prove there is no duality gap between such primal and
dual formulations in a local extremal context.

1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess