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On the existence of solutions of a nonlocal elliptic equation with a \(p\)-Kirchhoff-type term - MaRDI portal

On the existence of solutions of a nonlocal elliptic equation with a \(p\)-Kirchhoff-type term (Q1008538)

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scientific article; zbMATH DE number 5534763
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English
On the existence of solutions of a nonlocal elliptic equation with a \(p\)-Kirchhoff-type term
scientific article; zbMATH DE number 5534763

    Statements

    On the existence of solutions of a nonlocal elliptic equation with a \(p\)-Kirchhoff-type term (English)
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    30 March 2009
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    The authors provide various existence results for a certain nonlocal elliptic equation which involves the \(p\)-Laplacian and generalizes the classical stationary Kirchhoff equation. Both the linear and sublinear cases are considered. A special case in which the nonlinear term contains a singular term is also treated.
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    nonlocal elliptic equation
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    \(p\)-Laplacian
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    Kirchhoff equation
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