Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality arguments for linear elasticity problems with incompatible
  deformation fields   We prove existence and uniqueness for solutions to equilibrium problems for
free-standing, traction-free, non homogeneous crystals in the presence of
plastic slips. Moreover we prove that this class of problems is closed under
G-convergence of the operators. In particular the homogenization procedure,
valid for elliptic systems in linear elasticity, depicts the macroscopic
features of a composite material in the presence of plastic deformation.

17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat