Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and uniqueness results for possibly singular nonlinear
  elliptic equations with measure data   We study existence and uniqueness of solutions to a nonlinear elliptic
boundary value problem with a general, and possibly singular, lower order term,
whose model is $$\begin{cases}
  -\Delta_p u = H(u)\mu & \text{in}\ \Omega,\\ u>0 &\text{in}\ \Omega,\\ u=0
&\text{on}\ \partial\Omega. \end{cases}$$ Here $\Omega$ is an open bounded
subset of $\mathbb{R}^N$ ($N\ge2$), $\Delta_p u:= \operatorname{div}(|\nabla
u|^{p-2}\nabla u)$ ($1<p<N$) is the $p$-laplacian operator, $\mu$ is a
nonnegative bounded Radon measure on $\Omega$ and $H(s)$ is a continuous,
positive and finite function outside the origin which grows at most as
$s^{-\gamma}$, with $\gamma\ge0$, near zero.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an