Open Access Research Article

Existence of Global Attractors in for -Laplacian Parabolic Equation in

Caisheng Chen1*, Lanfang Shi1,2 and Hui Wang1,3

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

Published: 26 August 2009

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 .