Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term

In this paper we prove a large deviations principle for the invariant measures of a class of reaction-diffusion systems in bounded domains of ℝd, d ≥ 1, perturbed by a noise of multiplicative type. We consider reaction terms which are not Lipschitz-continuous and diffusion coefficients in front of the noise which are not bounded and may be degenerate. This covers for example the case of Ginzburg-Landau systems with unbounded and possibly degenerate multiplicative noise.