Existence and multiplicity of solutions for Dirichlet problem of \(p(x)\)-Laplacian type without the Ambrosetti-Rabinowitz condition (Q2033251)

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scientific article; zbMATH DE number 7358793
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Existence and multiplicity of solutions for Dirichlet problem of \(p(x)\)-Laplacian type without the Ambrosetti-Rabinowitz condition
scientific article; zbMATH DE number 7358793

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    Existence and multiplicity of solutions for Dirichlet problem of \(p(x)\)-Laplacian type without the Ambrosetti-Rabinowitz condition (English)
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    14 June 2021
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    The authors present existence and multiplicity results for a Dirichlet problem driven by a variable exponent operator of \(p(x)\)-Laplacian type without assuming that the reaction term satisfies the Ambrosetti-Rabinowitz condition.
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    \(p(x)\)-Laplacian
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    existence
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    variational methods
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