Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric solutions for a partial differential elliptic equation that
  arises in stochastic production planning with production constraints   In this article we consider the question of the existence of positive
symmetric solutions to the problems of the following type $\Delta u=a\left(
\left\vert x\right\vert \right) h\left( u\right) +b\left( \left\vert
x\right\vert \right) g\left( u\right) $ for $x\in \mathbb{R}^{N}$, which are
called entire large solutions. Here $N\geq 3$, and we assume that $a$ and $b$
are nonnegative continuous spherically symmetric functions on $\mathbb{R}% ^{N}
$. We extend results previously obtained for special cases of $h$ and $% g $
and we will describe a real-world model in which such problems may arise.

30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th