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Three symmetric solutions for a class of elliptic equations involving the \(p\)-Laplacian with discontinuous nonlinearities in \(\mathbb R^{N}\) - MaRDI portal

Three symmetric solutions for a class of elliptic equations involving the \(p\)-Laplacian with discontinuous nonlinearities in \(\mathbb R^{N}\) (Q2373858)

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Three symmetric solutions for a class of elliptic equations involving the \(p\)-Laplacian with discontinuous nonlinearities in \(\mathbb R^{N}\)
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    Three symmetric solutions for a class of elliptic equations involving the \(p\)-Laplacian with discontinuous nonlinearities in \(\mathbb R^{N}\) (English)
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    16 July 2007
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    The authors establish radially symmetric solutions for a class of elliptic equations involving the \(p\)-Laplacian with discontinuous nonlinearities in the whole space. To this end, they use a non-smooth version of the Ricceri three critical points theorem.
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    critical points of non-differentiable functional
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    multiple radially symmetric solutions
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    discontinuous nonlinearities
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