We study here the equation

$$(\omega_{o}+t\Omega+dd^{c}\varphi_{t})^{n}=C_{t}(|s_{1}|^{2k}+\ldots+|s_{p}|^{2k})e^{F}\Omega^{n}$$

The first few steps of the preceding argument can be repeated without changes. Next we apply formula (2.22) in [Y] as earlier, except that we set $F=F_{\varepsilon,t}+\log||s||^{(2k)}$, where $||s||^{(2k)}:=|s_{1}|^{2k}+\ldots+|s_{p}|^{2k}$. This yields

	$\displaystyle e^{C\varphi_{t}}\Delta^{\prime}(e^{-C\varphi_{t}}(n+\Delta\varphi_{t}))$	$\displaystyle\geq$	$\displaystyle\Delta F_{\varepsilon,t}+\Delta\log||s||^{(2k)}-n^{2}C^{\prime}-Cn(n+\Delta\varphi_{t})$
			$\displaystyle+\left(\frac{e^{-F_{\varepsilon,t}}}{||s||^{(2k)}}\right)^{1/(n-1)}(n+\Delta\varphi_{t})^{\frac{n}{n-1}}$

We recall the two preceding inequalities and observe two new ones that are available:

	$\displaystyle\Delta F_{\varepsilon,t}\geq C_{1}\;$	and	$\displaystyle\;e^{-F_{\varepsilon,t}/n-1}\geq C_{3}>0;$
	$\displaystyle\Delta\log||s||^{(2k)}\geq C_{2}$	and	$\displaystyle C_{4}\geq||s||^{(2k)}.$

Setting as earlier $y=n+\Delta\varphi_{t}$, we get

$$e^{C\varphi_{t}}\Delta^{\prime}(e^{-C\varphi_{t}}(n+\Delta\varphi_{t}))\geq C_{5}+C_{6}y+e^{C_{7}}y^{\frac{m}{m-1}}.$$

After this point, the proof is entirely the same as before.