On Global Attractors for a Class of Weighted p-Laplacian Parabolic Equations

Feng Jing

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On Global Attractors for a Class of Weighted p-Laplacian Parabolic Equations

Feng Jing *

School of Mathematical and Statistics, Lanzhou Unversity

*Correspondence author

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Funding: none

Opened online:18 December 2008

Accepted by: none

Citation: Feng Jing.On Global Attractors for a Class of Weighted p-Laplacian Parabolic Equations[OL]. [18 December 2008] http://en.paper.edu.cn/en_releasepaper/content/26705

The existence of L2(Ω)-global attractor is proved for a class of weighted p-Laplacian parabolic equation on a bounded domain with Dirichlet boundary condition, where the weighted function may be equal to zero on some points of boundary , and the nonlinear term is supposed to be globally Lipschitz continuous. The theory of maximal monotone operators is used in this paper.

Keywords:Global attractors;Boundary degeneracy;Weighted;p-Laplacian

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