Ambrosetti-Prodi-type problems for quasilinear elliptic problems. (Q976592)

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scientific article; zbMATH DE number 5720802
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Ambrosetti-Prodi-type problems for quasilinear elliptic problems.
scientific article; zbMATH DE number 5720802

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    Ambrosetti-Prodi-type problems for quasilinear elliptic problems. (English)
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    15 June 2010
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    Nonlinear perturbations of the \(p\)-Laplacian depending on a real parameter and subject to zero Dirichlet boundary data are considered. Results are established which guarantee the existence of at least one and at least two solutions for certain parameter ranges.
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    \(p\)-Laplacian
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    nonlinear perturbations
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    parameter dependence
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