Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Static self-gravitating Newtonian elastic balls   The existence of static self-gravitating Newtonian elastic balls is proved
under general assumptions on the constitutive equations of the elastic
material. The proof uses methods from the theory of finite-dimensional
dynamical systems and the Euler formulation of elasticity theory for
spherically symmetric bodies introduced recently by the authors. Examples of
elastic materials covered by the results of this paper are Saint
Venant-Kirchhoff, John and Hadamard materials.

20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin