Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of isoperimetric sets in $\mathbb R^2$ with density   We consider the isoperimetric problem in $\mathbb R^n$ with density for the
planar case $n=2$. We show that, if the density is ${\rm C}^{0,\alpha}$, then
the boundary of any isoperimetric is of class ${\rm C}^{1,\frac
\alpha{3-2\alpha}}$. This improves the previously known regularity.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio