Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $q$-Moment Estimates for the Singular $p$-Laplace Equation and
  Applications   We provide $q$-moment estimates on annuli for weak solutions of the singular
$p$-Laplace equation where $p$ and $q$ are conjugates. We derive $q$-uniform
integrability for some critical parameter range. As a application, we derive a
mass conservation as well as a weak convergence result for a larger critical
parameter range. Concerning the latter point, we further provide a rate of
convergence of order $t^{q-1}$ of the solution in the $q$-Wasserstein distance.

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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin