Growth estimates on positive solutions of the equation $\Delta u+K{u}^{\frac{n+2}{n-2}}=0$ in ${\mathbb{R}}^n$

Man Chun Leung

We construct unbounded positive $C^2$-solutions of the equation $\Delta u+K{u}^{(n+2)/(n-2)}=0$ in ${\mathbb{R}}^n$ (equipped with Euclidean metric $g_o$) such that $K$ is bounded between…