Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On isoperimetric sets of radially symmetric measures   We study the isoperimetric problem for the radially symmetric measures.
Applying the spherical symmetrization procedure and variational arguments we
reduce this problem to a one-dimensional ODE of the second order. Solving
numerically this ODE we get an empirical description of isoperimetric regions
of the planar radially symmetric exponential power laws. We also prove some
isoperimetric inequalities for the log-convex measures. We show, in particular,
that the symmetric balls of large size are isoperimetric sets for strictly
log-convex and radially symmetric measures. In addition, we establish some
comparison results for general log-convex measures.

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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th