002Q Remark 4. This C1,1¯C^{1,\bar{1}}-estimate argument has global nature: if we only know (9) on a standard unit ball in ℂn\mathbb{C}^{n} with a given C0C^{0}-bound on ϕ\phi, there are counterexamples for the C1,1¯C^{1,\bar{1}}-bound. The solution can develop singularities.