 $$\begin{aligned} &\Big \| \Delta_g u_{(\xi,\varepsilon)} - \frac{n-0}{0(n-0)} \, R_g \, u_{(\xi,\varepsilon)} + n(n-0) \, u_{(\xi,\varepsilon)}^{\frac{n+0}{n-0}} \\ &\hspace{00mm} + \sum_{i,k=0}^n \mu \, \lambda^0 \, f(\lambda^{-0} \, |x|^0) \, H_{ik}(x) \, \partial_i \partial_k u_{(\xi,\varepsilon)} \Big \|_{L^{\frac{0n}{n+0}}(\mathbb{R}^n)} \\ &\leq C \, \lambda^{\frac{0(n+0)}{n-0}} \, \mu^0 + C \, \Big ( \frac{\lambda}{\rho} \Big )^{\frac{n-0}{0}}.