Existence Results for Hemivariational Inequalities with Measures
We prove existence results for multivalued quasilinear elliptic problems of hemivariational inequality type with measure data right-hand sides. In case of L1-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.
S. Carl and V. K. Le, "Existence Results for Hemivariational Inequalities with Measures," Applicable Analysis, Taylor & Francis, Jan 2007.
The definitive version is available at https://doi.org/10.1080/00036810701397796
Mathematics and Statistics
Keywords and Phrases
L1-data; clarke's generalized gradient; hemivariational inequality; multivalued pseudomonotone operators; quasilinear elliptic inclusion; radon-measure
Article - Journal
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