On a class of differential-hemivariational inequalities (Q2724667)

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scientific article; zbMATH DE number 1618110
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On a class of differential-hemivariational inequalities
scientific article; zbMATH DE number 1618110

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    19 February 2002
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    hemivariational inequalities
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    Sobolev spaces
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    convexity
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    weak upper semicontinuity
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    coercivity
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    On a class of differential-hemivariational inequalities (English)
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    The objective of the paper is to study a class of variational-hemivariational inequalities (called by the author ``differential hemivariational inequalities'') containing first and second order distributional derivatives of the unknown function. The main result of the paper provides the existence of solutions under suitable growth, weak upper semicontinuity and coercivity assumptions. The argument is developed in the functional framework of Sobolev spaces and relies on a version of Ky-Fan's theorem.NEWLINENEWLINEFor the entire collection see [Zbl 0959.00041].
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