Resonant nonlinear periodic problems with the scalar \(p\)-Laplacian and a nonsmooth potential (Q2471495)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Resonant nonlinear periodic problems with the scalar \(p\)-Laplacian and a nonsmooth potential |
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Resonant nonlinear periodic problems with the scalar \(p\)-Laplacian and a nonsmooth potential (English)
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22 February 2008
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The authors study periodic problems driven by the scalar \(p\)-Laplacian with a nonsmooth potential. By using the nonsmooth critical point theory for locally Lipschitz functions, the authors prove two existence theorems under conditions of resonance at infinity with respect to the first two eigenvalues of the negative scalar \(p\)-Laplacian with periodic boundary conditions.
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critical point
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linking sets
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nonsmooth PS-condition
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locally Lipschitz function
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generalized subdifferential
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double resonance
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