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Existence and comparison results for quasilinear evolution hemivariational inequalities. (English) Zbl 1053.49005

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.

MSC:

49J40 Variational inequalities
35K85 Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators
35A15 Variational methods applied to PDEs
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