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.
Recommended Citation
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
Department(s)
Mathematics and Statistics
Keywords and Phrases
L1-data; clarke's generalized gradient; hemivariational inequality; multivalued pseudomonotone operators; quasilinear elliptic inclusion; radon-measure
International Standard Serial Number (ISSN)
0003-6811
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2007 Taylor & Francis, All rights reserved.
Publication Date
01 Jan 2007
