Global attractors for one dimensional p-Laplacian equation


Khanmamedov A.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.71, pp.155-171, 2009 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 71
  • Publication Date: 2009
  • Doi Number: 10.1016/j.na.2008.10.037
  • Title of Journal : NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Page Numbers: pp.155-171

Abstract

We study the existence of the (L-2(R), W-1,W-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. (C) 2008 Elsevier Ltd. All rights reserved.