Abstract
In this paper, we consider the p-Laplacian equations with hereditary effects and the nonlinear term f satisfying the polynomial growth of arbitrary order q − 1 (q ≥ 2). We analyze the well-posedness of solutions and establish the existence of the (CL2(Ω),CL2(Ω)) and (CL2(Ω),CLq(Ω))-pullback attractors by applying the idea of the bi-spaces and the asymptotic a priori estimate method.
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