| Abstract: |
| Hemivariational inequality has been widely used to nonsmooth and noncovex energy functional problems. This talk concerns an initial-boundary value problem for a quasilinear parabolic system of hemivariational inequalities which is not necessarily coercive. The system is given in inclusion forms and doubly coupled on both the source and multivalued terms. The existence of weak solutions is established within a trapping region based on sub-supersolutions and nonsmooth analysis. Moreover, we show the existence of positive solutions by effectively constructing the sub-supersolutions of the coupled system. |
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