Wong-Zakai approximation and support theorem for SPDEs with locally monotone coefficients

In this paper we present the Wong-Zakai approximation results for a class of nonlinear SPDEs with locally monotone coefficients and driven by multiplicative Wiener noise. This model extends the classical monotone one and includes examples like stochastic 2d Navier-Stokes equations, stochastic porous medium equations, stochastic p-Laplace equations and stochastic reaction-diffusion equations. As a corollary, our approximation results also describe the support of the distribution of solutions.