Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power concavity for elliptic and parabolic boundary value problems on
  rotationally symmetric domains   We study power concavity of rotationally symmetric solutions to elliptic and
parabolic boundary value problems on rotationally symmetric domains in
Riemannian manifolds. As applications of our results to the hyperbolic space
${\bf H}^N$ we have:
  $\bullet$ The first Dirichlet eigenfunction on a ball in ${\bf H}^N$ is
strictly positive power concave;
  $\bullet$ Let $\Gamma$ be the heat kernel on ${\bf H}^N$. Then
$\Gamma(\cdot,y,t)$ is strictly log-concave on ${\bf H}^N$ for $y\in {\bf H}^N$
and $t>0$.

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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn