Nonlinear Dirichlet problems with no growth restriction on the reaction (Q528829)
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scientific article; zbMATH DE number 6718159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear Dirichlet problems with no growth restriction on the reaction |
scientific article; zbMATH DE number 6718159 |
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Nonlinear Dirichlet problems with no growth restriction on the reaction (English)
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16 May 2017
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Summary: We consider nonlinear Dirichlet problems driven by the sum of a \(p\)-Laplacian and a Laplacian and with a Carathéodory reaction which does not satisfy any global growth condition. Instead we assume that it has constant sign \(z\)-dependent zeros. Using variational methods, truncation techniques and Morse theory, we prove multiplicity theorems providing sign information for all the solutions.
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Laplacian, \(p\)-Laplacian
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Carathéodory reaction
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nonlinear Dirichlet problems
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