A global attractor for a p(x)p(x)-Laplacian parabolic problem

In this work we study the asymptotic behavior of a p(x)p(x)-Laplacian parabolic problem of the form ut−Δp(x)(u)=B(u)ut−Δp(x)(u)=B(u) in a bounded smooth domain Ω in RNRN under Dirichlet boundary conditions. We prove, under suitable assumptions, the existence of a compact invariant global BB-attractor in L2(Ω).