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Generalized Pohožaev and Pucci-Serrin identities and non-existence results for \(p(x)\)-Laplacian type equations - MaRDI portal

Generalized Pohožaev and Pucci-Serrin identities and non-existence results for \(p(x)\)-Laplacian type equations (Q977312)

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scientific article; zbMATH DE number 5723770
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Generalized Pohožaev and Pucci-Serrin identities and non-existence results for \(p(x)\)-Laplacian type equations
scientific article; zbMATH DE number 5723770

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    Generalized Pohožaev and Pucci-Serrin identities and non-existence results for \(p(x)\)-Laplacian type equations (English)
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    21 June 2010
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    The author generalizes the well-known Pohozaev and Pussi-Serrin identities, and establishes some non-existence results for Dirichlet problems with \(p(x)\)-Laplacian based on the generalized identities of Pohozaev type and Pucci-Serrin type.
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    chain rule
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    \(p(x)\)-Laplacian
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    Gereralized Pohozaev identity
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    Generalized Pucci-Serrin identity
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    Non-existence theorem
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