Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean value formulas for classical solutions to some degenerate elliptic
  equations in Carnot groups   We prove surface and volume mean value formulas for classical solutions to
uniformly elliptic equations in divergence form with H\"{o}lder continuous
coefficients. The kernels appearing in the integrals are supported on the level
and superlevel sets of the fundamental solution relevant the adjoint
differential operator. We then extend the aforementioned formulas to some
subelliptic operators on Carnot groups. In this case we rely on the theory of
finite perimeters on stratified Lie groups.

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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: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys