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Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators - MaRDI portal

Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators (Q414401)

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scientific article; zbMATH DE number 6033152
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Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators
scientific article; zbMATH DE number 6033152

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    Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators (English)
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    11 May 2012
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    The paper under review establishes some multiplicity results for a class of nonlinear stationary equations involving a differential operator with variable exponent. The proofs are the same as in the case of Laplace or \(p\)-Laplace operators. Reviewer's remark: The paper contains several typos or English inaccuracies (``Fadou lemma'', ``provar a strictly monotonicity'', ``the paper study'', etc.).
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    PS-condition
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    critical points
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    \(p(x)\)-Laplacian
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    variable exponent Sobolev space
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