Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $W^{1,1}_0(\Omega)$ in some borderline cases of elliptic equations with
  degenerate coercivity   We study a degenerate elliptic equation, proving existence results of
distributional solutions in some borderline cases.

8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph