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On some nonlinear nonhomogeneous elliptic unilateral problems involving noncontrollable lower order terms with measure right hand side

C. Yazough, E. Azroul, H. Redwane (2013)

Applicationes Mathematicae

We prove the existence of entropy solutions to unilateral problems associated to equations of the type A u - d i v ( ϕ ( u ) ) = μ L ¹ ( Ω ) + W - 1 , p ' ( · ) ( Ω ) , where A is a Leray-Lions operator acting from W 1 , p ( · ) ( Ω ) into its dual W - 1 , p ( · ) ( Ω ) and ϕ C ( , N ) .

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