Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compact embedding in the space of piecewise H1 functions   We prove a compact embedding theorem in a class of spaces of piecewise H1
functions subordinated to a class of shape regular, but not necessarily
quasi-uniform triangulations of a polygonal domain. This result generalizes the
Rellich--Kondrachov theorem. It is used to prove generalizations to piecewise
functions of nonstandard Poincar\'e--Friedrichs inequalities. It can be used to
prove Korn inequalities for piecewise functions associated with elastic shells.

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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas