Carl, SiegfriedLe, Vy K.Motreanu, Dumitru2021-04-192021-04-192004-04-13Carl, S., Le, V. K., Motreanu, D. (2004). Existence and comparison results for quasilinear evolution hemivariational inequalities. <i>Electronic Journal of Differential Equations, 2004</i>(57), pp. 1-17.1072-6691https://hdl.handle.net/10877/13394We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities. To this end we first introduce our basic notion of sub- and supersolutions on the basis of which we then prove existence, comparison, compactness and extremality results for the hemivariational inequalities under considerations.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalEvolution hemivariational inequalityQuasilinearSubsolutionSupersolutionExtremal solutionExistenceComparisonCompactnessArticle