Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted asymptotic Korn and interpolation Korn inequalities with
  singular weights   In this work we derive asymptotically sharp weighted Korn and Korn-like
interpolation (or first and a half) inequalities in thin domains with singular
weights. The constants $K$ (Korn's constant) in the inequalities depend on the
domain thickness $h$ according to a power rule $K=Ch^\alpha,$ where $C>0$ and
$\alpha\in R$ are constants independent of $h$ and the displacement field. The
sharpness of the estimates is understood in the sense that the asymptotics
$h^\alpha$ is optimal as $h\to 0.$ The choice of the weights is motivated by
several factors, in particular a spacial case occurs when making Cartesian to
polar change of variables in two dimensions.

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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: cs