Positive solutions for nonlinear Neumann problems with concave and convex terms (Q1928545)

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scientific article; zbMATH DE number 6121587
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Positive solutions for nonlinear Neumann problems with concave and convex terms
scientific article; zbMATH DE number 6121587

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    Positive solutions for nonlinear Neumann problems with concave and convex terms (English)
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    3 January 2013
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    A nonlinear elliptic Neumann problem for the \(p\)-Laplacian in a domain with a \(C^2\) boundary is considered. A critical case is investigated. A theorem about existence of a positive solutions is obtained. The results received are based at variational methods with employing the mountain pass theorem.
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    C-condition
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    nonlinear maximum principle
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    local minimizers
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    \(p\)-Laplacian
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    bifurcation type theorem
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