Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain

In this paper, we study the long-time behavior of solutions for the parabolic equation with non-linear Laplacian principal part in Rn. We prove the existence of a global (L2(Rn), L∞(Rn))-attractor when n⩽p and the existence of a global (L2(Rn), )-attractor when n>p.