A Landesman-Lazer type theorem for periodic solutions of the resonant asymmetric \(p\)-Laplacian equation (Q2581259)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Landesman-Lazer type theorem for periodic solutions of the resonant asymmetric \(p\)-Laplacian equation |
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A Landesman-Lazer type theorem for periodic solutions of the resonant asymmetric \(p\)-Laplacian equation (English)
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9 January 2006
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The author proves the existence of a periodic solution for an asymmetric oscillator at resonance involving the \(p\)-Laplacian. He is able to provide a change of variables in order to transform the equation into a perturbation of a linear one, getting rid of the asymmetry. In this way, he generalizes in an elegant way a result by Ahmad, Lazer and Paul.
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periodic solutions
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asymmetric oscillator
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