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.
S. Carl et al., "Existence and Comparison Results for Quasilinear Evolution Hemivariational Inequalities," Electronic Journal of Differential Equations, Southwest Texas State University, Jan 2004.
Mathematics and Statistics
Keywords and Phrases
Compactness; comparison; evolution hemivariational inequality; existence; extremal solution; quasilinear; subsolution; supersolution
International Standard Serial Number (ISSN)
Article - Journal
© 2004 Southwest Texas State University, All rights reserved.