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National Repository of Grey Literature

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Sobolev inequality with variable exponent Rákosník, Jiří Recently, an increasing attention has been payed to partial differential equations and variational integrals involving coefficients of nonstandard growth. A natural tool to handle some of the related problems may be theory of spaces of functions integrable with variable exponent. The paper discusses the Sobolev inequality in this context and shows that it holds if the exponentfunction is Lipschitz-continuous. Detailed record

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