Carl, Siegfried; Le, Vy K.; Motreanu, Dumitru Existence and comparison results for quasilinear evolution hemivariational inequalities. (English) Zbl 1053.49005 Electron. J. Differ. Equ. 2004, Paper No. 57, 17 p. (2004). The authors generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities. Using this method they prove existence, comparison, compactness and extremality results for the hemivariational inequalities. Reviewer: Leszek Gasiński (Kraków) Cited in 8 Documents MSC: 49J40 Variational inequalities 35K85 Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators 35A15 Variational methods applied to PDEs Keywords:evolution hemivariational inequality; subsolution; supersolution; extremal solution; compactness PDF BibTeX XML Cite \textit{S. Carl} et al., Electron. J. Differ. Equ. 2004, Paper No. 57, 17 p. (2004; Zbl 1053.49005) Full Text: EuDML EMIS OpenURL