Abstract
We consider quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. 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
V. K. Le et al., "Existence, Comparison, and Compactness Results for Quasilinear Variational-Hemivariational Inequalities," International Journal of Mathematics and Mathematical Sciences, Hindawi Publishing Corporation, Jan 2005.
The definitive version is available at https://doi.org/10.1155/IJMMS.2005.401
Department(s)
Mathematics and Statistics
Keywords and Phrases
Lipschitz; Quasilinear Variational-Hemivariational Inequalities; Variational Inequalities (Mathematics)
International Standard Serial Number (ISSN)
0161-1712
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2005 Hindawi Publishing Corporation, All rights reserved.
Publication Date
01 Jan 2005
