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