Global attractors for one dimensional p-Laplacian equation


Khanmamedov A.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.71, ss.155-171, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 71
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.na.2008.10.037
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Sayfa Sayıları: ss.155-171

Özet

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.