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In this paper we study the existence of solutions for the generated boundary value problem , with initial datum being an element of L 1 (Ω) + W −1,p where a(.) is a Carathéodory function satisfying the classical condition of type Leray-Lions hypothesis, while g(x, s, ξ) is a non-linear term which has a growth condition with respect to ξ and no growth with(More)
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