Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 87, pp. 1-27.

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

Authors: Jia Li       (Southwest Univ., Chongqing, China)
         Yangrong Li  (Southwest Univ., Chongqing, China)
         Hongyong Cui (Southwest Univ., Chongqing, China)

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 02, 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.