We prove an analogue of Sadullaev’s theorem concerning the size of the set where a maximal totally real manifold M can meet a pluripolar set. M has to be of class C ¹ only. This readily leads to a version of Shcherbina’s theorem for C ¹ functions f that are defined in a neighborhood of certain compact sets \({K\subset\mathbb{C}}\) . If the graph Γ _f (K) is pluripolar, then \({\frac{\partial f}{\partial\bar z}=0}\) in the closure of the fine interior of K.