Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison results for solutions of Poisson equations with Robin
  boundary on complete Riemannian manifolds   In this paper, by using Schwarz rearrangement and isoperimetric inequalities,
we prove comparison results for the solutions of Poisson equations on complete
Riemannian manifolds with $Ric\geq (n-1)\kappa$, $\, \kappa\geq 0$, which
extends the results in \cite{ANT-Talenti-a}. Furthermore, as applications of
our comparison results, we obtain the Saint-Venant inequality and Bossel-Daners
inequality for Robin Laplacian.

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The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
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The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
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The categories of this paper are: econ
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc