On global attractor for nonlinear parabolic equations of m-Laplacian type

Existence and some regularity results of global attractor in Lq , q 1, for m-Laplacian type quasilinear parabolic equation with a perturbation like a(x)(|u|αu − |u|βu) + f (x) with α > β 0, a(x) 0 are proved. For the proofs Moser’s technique is used extensively. © 2006 Elsevier Inc. All rights reserved