Existence of solutions and of multiple solutions for eigenvalue problems of hemivariational inequalities (Q2747835)

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scientific article; zbMATH DE number 1658350
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Existence of solutions and of multiple solutions for eigenvalue problems of hemivariational inequalities
scientific article; zbMATH DE number 1658350

    Statements

    11 November 2002
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    locally Lipschitz functional
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    critical point
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    \(p\)-Laplacian
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    eigenvalue problem
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    hemivariational inequalities
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    resonance
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    Existence of solutions and of multiple solutions for eigenvalue problems of hemivariational inequalities (English)
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    This interesting paper is devoted to some eigenvalue problems for hemivariational inequalities involving the \(p\)-Laplacian. Existence and multiplicity results are obtained by using the variational approach in the setting of nonsmooth critical point theory for locally Lipschitz functionals. Additional qualitative information is available including a study at resonance.
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