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Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations - MaRDI portal

Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations (Q640119)

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scientific article; zbMATH DE number 5959658
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Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
scientific article; zbMATH DE number 5959658

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    Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations (English)
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    17 October 2011
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    In this paper the authors use the symmetric mountain pass theorem to discuss the multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations. They establishe the existence of an unbounded sequence of solutions for a class of quasilinear elliptic \(p(x)\)-polyharmonic Kirchhoff equations.
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    \(p(x)\)-polyharmonic Kirchhoff equations
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    existence of multiple solutions
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    symmetric mountain pass theorem
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