Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Gamma convergence approach to the critical Sobolev embedding in
  variable exponent spaces   In this paper, we study the critical Sobolev embeddings
$W^{1,p(x)}(\Omega)\subset L^{p^*(x)}(\Omega)$ for variable exponent Sobolev
spaces from the point of view of the $\Gamma$-convergence. More precisely we
determine the $\Gamma$-limit of subcritical approximation of the best constant
associated with this embedding. As an application we provide a sufficient
condition for the existence of extremals for the best constant.

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The categories of this paper are: quant-ph
11
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: adap-org
17
The categories of this paper are: q-fin
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The categories of this paper are: econ
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
23
The categories of this paper are: solv-int