Existence and Comparison Principles for General Quasilinear Variational-Hemivariational Inequalities

Author

Siegfried Carl
Vy Khoi Le, Missouri University of Science and TechnologyFollow
Dumitru Motreanu

Abstract

We consider quasilinear elliptic variational-hemivariational inequalities involving convex, lower semicontinuous and locally Lipschitz functionals. We provide a generalization of the fundamental notion of sub- and supersolutions on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities, including existence, comparison, compactness and extremality results.

Recommended Citation

S. Carl et al., "Existence and Comparison Principles for General Quasilinear Variational-Hemivariational Inequalities," Journal of Mathematical Analysis and Applications, Elsevier, Jan 2005.

The definitive version is available at https://doi.org/10.1016/j.jmaa.2004.08.011

Department(s)

Mathematics and Statistics

Keywords and Phrases

Multivalued Pseudomonotone Operators; Comparison Principles; Variational-Hemivariational Inequalities; Variational Inequalities (Mathematics)

International Standard Serial Number (ISSN)

0022-247X

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2005 Elsevier, All rights reserved.

Publication Date

01 Jan 2005