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Positive solutions of elliptic and parabolic equations with convex-concave nonlinearities - MaRDI portal

Positive solutions of elliptic and parabolic equations with convex-concave nonlinearities (Q812892)

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scientific article; zbMATH DE number 5001918
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Positive solutions of elliptic and parabolic equations with convex-concave nonlinearities
scientific article; zbMATH DE number 5001918

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    Positive solutions of elliptic and parabolic equations with convex-concave nonlinearities (English)
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    26 January 2006
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    The authors study a Dirichlet boundary value problem of elliptic type as well as an initial-boundary value problem of parabolic type with two power nonlinearities. The existence and nonexistence of positive solutions are obtained on both bounded and unbounded domains.
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    Elliptic equation
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    parabolic equation
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    quenching problem
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    Dirichlet problem
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    initial-boundary value problem
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    positive solution
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