Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Domain Variation Solutions for degenerate two phase free boundary
  problems   We discuss the domain variation solutions notion for some degenerate elliptic
two-phase free boundary problems as well as the viscosity definition of the
problem when the operator is degenerate.

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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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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: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con