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Existence of three solutions for a nonlocal transmission problem - MaRDI portal

Existence of three solutions for a nonlocal transmission problem (Q2812239)

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scientific article; zbMATH DE number 6594203
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Existence of three solutions for a nonlocal transmission problem
scientific article; zbMATH DE number 6594203

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    16 June 2016
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    nonlinear transmission problem
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    Kirchhoff-type problem
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    \(p(x)\)-Laplacian
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    Existence of three solutions for a nonlocal transmission problem (English)
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    The authors consider a nonlinear transmission problem involving also variable exponents and \(p(x)\)-Laplacians. Under suitable hypotheses on the data they are able to show the existence of (at least) three different weak solutions for the given problem. Also, with a slight modification of the hypotheses, they can show that such solutions are nonnegative.
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