Abstract

We study the existence of the ( L 2 ( R ) , W 1 , p ( R ) ) -global attractor for an evolution p -Laplacian equation. Under additional restrictions on force and source terms we improve the result of [A. Kh. Khanmamedov, Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain, J. Math. Anal. Appl. 316 (2006) 601–615] and correct the result of [M. Yang, C. Sun, C. Zhong, Existence of a global attractor for a p -Laplacian equation in R n , Nonlinear Anal. 66 (2007) 1–13] in the one dimensional case.

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