Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Injectivity almost everywhere and mappings with finite distortion in
  nonlinear elasticity   We show that a sufficient condition for the weak limit of a sequence of
$W^1_q$-homeomorphisms with finite distortion to be almost everywhere injective
for $q \geq n-1$, can be stated by means of composition operators. Applying
this result, we study nonlinear elasticity problems with respect to these new
classes of mappings. Furthermore, we impose loose growth conditions on the
stored-energy function for the class of $W^1_n$-homeomorphisms with finite
distortion and integrable inner as well as outer distortion coefficients.

35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex