On the Fučik spectrum for the \(p\)-Laplacian (Q1848312)
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scientific article; zbMATH DE number 1832846
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Fučik spectrum for the \(p\)-Laplacian |
scientific article; zbMATH DE number 1832846 |
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On the Fučik spectrum for the \(p\)-Laplacian (English)
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28 October 2003
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The structure of the set \(\{(\alpha, \beta) \in \mathbb R^2\): the problem \(-\Delta_p u = \alpha (u^+)^{p-1} - \beta (u^-)^{p-1}\) in \(\Omega\), \(u=0\) on \(\partial\Omega\) has a nontrivial solution\} is studied. See also \textit{N. Dancer} and \textit{K. Perera} [J. Math. Anal. Appl. 254, 164-177 (2001; Zbl 0970.35056)].
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Fučik spectrum
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jumping nonlinearity
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nonlinear elliptic PDE
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\(p\)-Laplacian
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