Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the continuity of solutions to doubly singular parabolic equations   This paper considers a certain doubly singular parabolic equations with one
singularity occurs in the time derivative, whose model is \begin{equation*}
\partial_t\beta(u)-\operatorname{div}|Du|^{p-2}Du\ni0,\qquad \text{in}\quad
\Omega\times(0,T)\end{equation*} where $\Omega\subset\mathbb{R}^N$ and
$N\geq3$. We show that the bounded weak solutions are locally continuous in the
range $$2-\epsilon_0\leq p<2,$$ provided $\epsilon_0>0$ is small enough, and
the continuity is stable as $p\to2$.

14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom