On regularity of invariant measures of multivalued stochastic differential equations

We prove that the invariant measure associated to a multivalued stochastic differential equation is absolutely continuous with respect to the Lebesgue measure with a density ρ∈Blocs,p,q for all 11q>1 provided that O⋐Int(D(A)). In particular, ρρ is locally αα-Hölder continuous in Int(D(A)) for all α<1α<1.