Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of flat free boundaries for a $p(x)$-Laplacian problem with
  right hand side   We consider viscosity solutions to a one-phase free boundary problem for the
$p(x)$-Laplacian with non-zero right hand side. We apply the tools developed in
\cite{D} to prove that flat free boundaries are $C^{1,\alpha}$. Moreover, we
obtain some new results for the operator under consideration that are of
independent interest.

11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th