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pullback attractors for a nonautonomous plate equation with critical nonlinearities v. l. carbone ∗ & m. j. d. nascimento † & k. schiabel-silva ‡ & r. p. silva § In this work we are concerned with existence of pullback attractors for the equation: utt + a(t, x)ut −∆ut + (−∆)2u+ λu = f(u) in Ω, u = ∆u = 0 on ∂Ω, (1.1) where Ω is a bounded smooth domain in Rn, λ> 0 and f: R → R is a nonlinearity with critical growth to be specified later. The standard way to study the problem (1.1) is to consider it as the first order system d d