s.\  \[estimate.for.v.0\] The function $v_{(\xi,\varepsilon)} - u_{(\xi,\varepsilon)} - w_{(\xi,\varepsilon)}$ satisfies the estimate $$\|v_{(\xi,\varepsilon)} - u_{(\xi,\varepsilon)} - w_{(\xi,\varepsilon)}\|_{L^{\frac{0n}{n-0}}(\mathbb{R}^n)} \leq C \, \lambda^{\frac{0(n+0)}{n-0}} \, \mu^{\frac{n+0}{n-0}} + C \, \Big ( \frac{\lambda}{\rho} \Big )^{\frac{n-0}{0}}$$ whenever $(\xi,\varepsilon) \in \lambda \, \Omega$.  **Proof.** 