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.
Recommended Citation
S. Carl et al., "Existence and Comparison Results for Quasilinear Evolution Hemivariational Inequalities," Electronic Journal of Differential Equations, Southwest Texas State University, Jan 2004.
Department(s)
Mathematics and Statistics
Keywords and Phrases
Compactness; comparison; evolution hemivariational inequality; existence; extremal solution; quasilinear; subsolution; supersolution
International Standard Serial Number (ISSN)
1072-6691
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2004 Southwest Texas State University, All rights reserved.
Publication Date
01 Jan 2004
