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.
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 http://dx.doi.org/10.1016/j.jmaa.2004.08.011
Mathematics and Statistics
Keywords and Phrases
Multivalued Pseudomonotone Operators; Comparison Principles; Variational-Hemivariational Inequalities; Variational Inequalities (Mathematics)
Article - Journal
© 2005 Elsevier, All rights reserved.