Electron. J. Diff. Equ., Vol. 2014 (2014), No. 87, pp. 1-27.

Existence and upper semicontinuity of random attractors for stochastic p-Laplacian equations on unbounded domains

Jia Li, Yangrong Li, Hongyong Cui

Abstract:
The existence of a pullback attractor is established for a stochastic p-Laplacian equation on $\mathbb{R}^n$. Furthermore, the limiting behavior of random attractors of the random dynamical systems as stochastic perturbations approach zero is studied and the upper semicontinuity is proved.

Submitted January 19, 2014. Published April 2, 2014.
Math Subject Classifications: 37L30, 35B40, 35B41, 35K55, 35K57, 35Q80.
Key Words: Stochastic p-Laplacian equations; multiplicative noise; random dynamical system, random attractor; upper semicontinuity.

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Jia Li
School of Mathematics and statistics, Southwest University
Chongqing 400715, China
email: bfreedom@swu.edu.cn
Yangrong Li
School of Mathematics and statistics, Southwest University
Chongqing 400715, China
email: liyr@swu.edu.cn
Hongyong Cui
School of Mathematics and statistics, Southwest University
Chongqing 400715, China
email: chy0321@126.com

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