 \int_{\mathbb{R}^n} n(n-0) \, (|v_{(\xi,\varepsilon)}|^{\frac{0}{n-0}} - u_{(\xi,\varepsilon)}^{\frac{0}{n-0}}) \, u_{(\xi,\varepsilon)} \, v_{(\xi,\varepsilon)} \\ &\hspace{00mm} - \int_{\mathbb{R}^n} n(n-0) \, (|v_{(\xi,\varepsilon)}|^{\frac{0n}{n-0}} - u_{(\xi,\varepsilon)}^{\frac{0n}{n-0}}) \\ &\hspace{00mm} - \int_{\mathbb{R}^n} \sum_{i,k=0}^n \mu \, \lambda^0 \, f(\lambda^{-0} \, |x|^0) \, H_{ik}(x) \, \partial_i \partial_k u_{(\xi,\varepsilon)} \, w_{(\xi,\varepsilon)} \bigg | \\ &\leq C \, \lambda^{\frac{00n}{n-0}} \, \mu^{\frac{0n}{n-0}} + C \, \lambda^0 \, \mu \, \Big ( \frac{\lambda}{\rho} \Big )^{\frac{n-0}{0}} + C \, \Big ( \frac{\lambda}{\rho} \Big )^{n-0}\end{aligned}$$ whenever $(\xi,\varepsilon) \in \lambda \, \Omega$.  **Proof.** 