Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Besov regularity for a class of singular or degenerate elliptic
  equations   Motivated by applications to congested traffic problems, we establish higher
integrability results for the gradient of local weak solutions to the strongly
degenerate or singular elliptic PDE $-\mathrm{div}\left((\vert\nabla
u\vert-1)_{+}^{q-1}\frac{\nabla u}{\vert\nabla u\vert}\right)=f$,
$\mathrm{in}\,\,\Omega$, where $\Omega$ is a bounded domain in $\mathbb{R}^{n}$
for $n\geq2$, $1<q<\infty$ and $\left(\,\cdot\,\right)_{+}$ stands for the
positive part. We assume that the datum $f$ belongs to a suitable Sobolev or
Besov space. The main novelty here is that we deal with the case of
subquadratic growth, i.e. $1<q<2$, which has so far been neglected. In the
latter case, we also prove the higher fractional differentiability of the
solution to a variational problem, which is characterized by the above
equation. For the sake of completeness, we finally give a Besov regularity
result also in the case $q\geq2$.

5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs