Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BMO solvability and the $A_{\infty}$ condition of the elliptic measure
  in uniform domains   We consider the Dirichlet boundary value problem for divergence form elliptic
operators with bounded measurable coefficients. We prove that for uniform
domains with Ahlfors regular boundary, the BMO solvability of such problems is
equivalent to a quantitative absolute continuity of the elliptic measure with
respect to the surface measure, i.e. $\omega_L\in A_{\infty}(\sigma)$. This
generalizes a previous result on Lipschitz domains by Dindos, Kenig and Pipher.

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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
10
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: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
3
The categories of this paper are: physics
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The categories of this paper are: adap-org