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Ground state periodic solutions for difference equations with discrete \(p\)-Laplacian - MaRDI portal

Ground state periodic solutions for difference equations with discrete \(p\)-Laplacian (Q555383)

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scientific article; zbMATH DE number 5931335
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Ground state periodic solutions for difference equations with discrete \(p\)-Laplacian
scientific article; zbMATH DE number 5931335

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    Ground state periodic solutions for difference equations with discrete \(p\)-Laplacian (English)
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    22 July 2011
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    Using the critical point theory, existence results for periodic solutions of some nonlinear boundary value problems involving the discrete \(p\)-Laplacian operator are established. Three examples illustrating the results are given.
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    discrete \(p\)-Laplacian operator
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    critical point
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    Palais-Smale condition
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    lower and upper solutions
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    periodic solutions
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    nonlinear boundary value problems
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