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.
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 http://dx.doi.org/10.1155/IJMMS.2005.401
Mathematics and Statistics
Keywords and Phrases
Lipschitz; Quasilinear Variational-Hemivariational Inequalities; Variational Inequalities (Mathematics)
Article - Journal
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