Infinite-dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium

In this paper we give a detailed study of the global attractors for parabolic equations governed by the p-Laplacian in a heterogeneous medium. Not only the existence but also the infinite dimensionality of the global attractors is presented by showing that their epsilon-Kolmogorov entropy behaves as a polynomial of the variable 1/epsilon as epsilon tends to zero, which is not observed for non-degenerate parabolic equations. The upper and lower bounds for the Kolmogorov c-entropy of in auractors are also obtained. (C) 2011 Elsevier Masson SAS. All rights reserved.