Dissipation enhancement by transport noise for stochastic $p$-Laplace equations

The stochastic $p$-Laplace equation with multiplicative transport noise is studied on the torus $\mathbb T^d\, (d\geq 2)$. It is shown that the dissipation is enhanced by transport noise in both the averaged sense and the pathwise sense.
Comment: 20 pages. We have made some small corrections