Abstract
We prove the existence results in the setting of Orlicz spaces for the unilateral problem associated to the following equation, A u + g ( x , u , ∇ u ) = f , where A is a Leray–Lions operator acting from its domain D ( A ) ⊂ W 0 1 L M ( Ω ) into its dual, while g ( x , u , ∇ u ) is a nonlinear term having a growth conditions with respect to ∇ u and no growth with respect to u , but does not satisfy any sign condition. The right-hand side f belongs to L 1 ( Ω ) , and the obstacle is a measurable function.
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