Title

Existence and Comparison Results for Quasilinear Evolution Hemivariational Inequalities

Abstract

We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities. To this end we first introduce our basic notion of sub- and supersolutions on the basis of which we then prove existence, comparison, compactness and extremality results for the hemivariational inequalities under considerations.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Compactness; comparison; evolution hemivariational inequality; existence; extremal solution; quasilinear; subsolution; supersolution

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 Southwest Texas State University, All rights reserved.


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