The divergence equation in weighted- and \(L^{p(\cdot)}\)-spaces (Q627482)
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scientific article; zbMATH DE number 5859318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The divergence equation in weighted- and \(L^{p(\cdot)}\)-spaces |
scientific article; zbMATH DE number 5859318 |
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The divergence equation in weighted- and \(L^{p(\cdot)}\)-spaces (English)
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2 March 2011
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The author discusses the solvability of the divergence equation in weighted spaces and Lebesgue spaces with variable exponents. The technique used in the paper mainly comes from Bougovskii and the theory of singular integral operators. As an application of the main theorem, the author also proves an existence result for fluids which satisfy a \(p(\cdot)\)-growth condition.
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divergence equation
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Muckenhoupt weights
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Lebesgue spaces with variable exponents
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singular integrals
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fluids with \(p(\cdot)\)-growth
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