Elliptic equations with nonstandard growth involving measures (Q928424)

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scientific article; zbMATH DE number 5289879
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Elliptic equations with nonstandard growth involving measures
scientific article; zbMATH DE number 5289879

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    Elliptic equations with nonstandard growth involving measures (English)
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    18 June 2008
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    The author prove the existence of a superharmonic function, which satisfies the equation \[ \operatorname{div} A(x,Du) = \mu \] in the sense of distributions. Here \(\mu\) is a Radon measure and \(A\) is an elliptic operator with \(p(x)\)-type nonstandard growth.
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    nonstandard growth
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    measure data
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    superharmonic functions
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