Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimality of the ball for a model of charged liquid droplets   We deduce that charged liquid droplets minimizing Debye-H\"uckel-type free
energy are spherical in the small charge regime. The variational model was
proposed by Muratov and Novaga in 2016 to avoid the ill-posedness of the
classical one. By combining a recent (partial) regularity result with Selection
Principle of Cicalese and Leonardi, we prove that the ball is the unique
minimizer in the small charge regime.

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The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin