Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wiener criterion for X-elliptic operators   In this note we prove a Wiener criterion of regularity of boundary points for
the Dirichlet problem related to $X$-elliptic operators in divergence form
enjoying the doubling condition and the Poincar\'e inequality. As a step
towards this result, we exhibit some other characterizations of regularity in
terms of the capacitary potentials. Finally, we also show that a cone-type
criterion holds true in our setting.

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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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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: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom