Existence of Global Attractors in  for -Laplacian Parabolic Equation in

Caisheng Chen; Lanfang Shi; Hui Wang

doi:10.1155/2009/563767

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Research Article

Existence of Global Attractors in for -Laplacian Parabolic Equation in

Caisheng Chen¹^*, Lanfang Shi^1,² and Hui Wang^1,³

* Corresponding author: Caisheng Chen cshengchen@hhu.edu.cn

Author Affiliations

¹ Department of Mathematics, Hohai University, Nanjing 210098, Jiangsu, China

² College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China

³ Department of Mathematics, Ili Normal University, Yining 835000, Xinjiang, China

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Boundary Value Problems 2009, 2009:563767 doi:10.1155/2009/563767

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2009/1/563767

Received:	4 April 2009
Revisions received:	9 July 2009
Accepted:	24 July 2009
Published:	26 August 2009

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the long-time behavior of solution for the -Laplacian equation in , in which the nonlinear term is a function like with , , or with and . We prove the existence of a global -attractor for any .