An eigenvalue Dirichlet problem involving the \(p\)-Laplacian with discontinuous nonlinearities (Q2484178)
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| Language | Label | Description | Also known as |
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| English | An eigenvalue Dirichlet problem involving the \(p\)-Laplacian with discontinuous nonlinearities |
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An eigenvalue Dirichlet problem involving the \(p\)-Laplacian with discontinuous nonlinearities (English)
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1 August 2005
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The purpose of the present paper is to estabilsh a three solutions theorem for the Dirichlet problem involving the \(p\)-Laplacian with highly discontinuous nonlinearities, by using a consequence of the three critical points theorem, which is a nonsmooth version of three critical points theorem.
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Critical points of nonsmooth functions
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\(p\)-Laplacian
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Eigenvalue Dirichlet problem
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Multiple solutions
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Discontinuous nonlinearities
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