Existence, Comparison, and Compactness Results for Quasilinear Variational-Hemivariational Inequalities

Vy Khoi Le, Missouri University of Science and Technology
Dumitru Motreanu
Siegfried Carl

This document has been relocated to http://scholarsmine.mst.edu/math_stat_facwork/669

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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.