Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability and continuity of functions of least gradient   In this note we prove that on metric measure spaces, functions of least
gradient, as well as local minimizers of the area functional (after
modification on a set of measure zero) are continuous everywhere outside their
jump sets. As a tool, we develop some stability properties of sequences of
least gradient functions. We also apply these tools to prove a maximum
principle for functions of least gradient that arise as solutions to a
Dirichlet problem.

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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
1
The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: q-fin