Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasilinear elliptic equations with a source reaction term involving the
  function and its gradient and measure data   We study the equation --div(A(x, u)) = g(x, u, u) + $\mu$ where $\mu$ is a
measure and either g(x, u, u) $\sim$ |u| q 1 u||u| q 2 or g(x, u, u) $\sim$ |u|
s 1 u + ||u| s 2. We give sufficient conditions for existence of solutions
expressed in terms of the Wolff potential or the Riesz potentials of the
measure. Finally we connect the potential estimates on the measure with
Lipchitz estimates with respect to some Bessel or Riesz capacity.

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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg