On Global Attractors for a Nonlinear Parabolic Equation of m-Laplacian Type in R^N

Abstract

We prove the existence, some absorbing properties and some regularities of (L²(R^N),L^p(R^N)), 2 ≤ p < ∞, global attractor for the m-Laplacian type quasilinear parabolic equation in R^N with a perturbation g(x,u) + f(x).