Long-time random dynamics of stochastic parabolic p-Laplacian equations on RN

In this article, we study the long-time random dynamics of non-autonomous stochastic parabolic p-Laplacian equations driven by a Wiener-type multiplicative noise. By a new asymptotic a priori estimate method, not involving the plus or minus sign of the nonlinearity, the omega-limit compact of solutions in Lp(RN)∩Lq(RN) is proved for any p,q>2 and N≥1, where q is the polynomial growth exponent of the nonlinearity. If 20.