Title

Existence Results for Hemivariational Inequalities with Measures

Abstract

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

L1-data; clarke's generalized gradient; hemivariational inequality; multivalued pseudomonotone operators; quasilinear elliptic inclusion; radon-measure

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2007 Taylor & Francis, All rights reserved.


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