Global attractors for one dimensional image-Laplacian equation Original Research Article

We study the existence of the (L2(R),W1,p(R))(L2(R),W1,p(R))-global attractor for an evolution pp-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 pp-Laplacian equation in RnRn, Nonlinear Anal. 66 (2007) 1–13] in the one dimensional case.