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In this work we study the existence of nontrivial solution for the following class of multivalued quasilinear problems <Equation ID="Equ51"> <EquationSource Format="TEX">$$\begin{aligned} \displaystyle -\text{ div } ( \phi (|\nabla u|) \nabla u) - b(u)u \in \lambda \partial F(x,u)\;\text{ in }\;\Omega , \quad u=0\; \text{ on }\;\partial \Omega...</equationsource></equation>
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