Existence results for hemivariational inequalities with measures |
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Authors: | Siegfried Carl |
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Institution: | Institut für Mathematik , Martin-Luther-Universit?t Halle-Wittenberg , 06099 Halle, Germany |
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Abstract: | We prove existence results for multivalued quasilinear elliptic problems of hemivariational inequality type with measure data right-hand sides. In case of L 1-data, we study existence and enclosure behaviors of solutions by an appropriate sub-supersolution approach. The proofs of our results are based on general existence theory for multivalued pseudomonotone operators, and approximation-, truncation-, and special test function techniques. |
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Keywords: | Quasilinear elliptic inclusion Hemivariational inequality Radon-measure L 1-data Clarke's generalized gradient Multivalued pseudomonotone operators |
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