Existence and Comparison Principles for General Quasilinear Variational-Hemivariational Inequalities

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

This document has been relocated to http://scholarsmine.mst.edu/math_stat_facwork/668

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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.