Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of varifold minimizers for the multiphase Canham-Helfrich
  functional   We address the minimization of the Canham-Helfrich functional in presence of
multiple phases. The problem is inspired by the modelization of heterogeneous
biological membranes, which may feature variable bending rigidities and
spontaneous curvatures. With respect to previous contributions, no symmetry of
the minimizers is here assumed. Correspondingly, the problem is reformulated
and solved in the weaker frame of oriented curvature varifolds. We present a
lower semicontinuity result and prove existence of single- and multiphase
minimizers under area and enclosed-volume constrains. Additionally, we discuss
regularity of minimizers and establish lower and upper diameter bounds.

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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: cs