Singular limits and properties of solutions of some degenerate elliptic and parabolic equations

Kin Ming Hui, Sunghoon Kim

Let $n\ge 3$, $0\le m<\frac{n-2}{n}$, ${\rho }_1>0$, $\beta >{\beta }_0^{(m)}=\frac{m{\rho }_1}{n-2-nm}$, ${\alpha }_m=\frac{2\beta +{\rho }_1}{1-m}$ and $\alpha =2\beta +{\rho }_1$. For any $\lambda >0$, we prove the uniqueness of radially symme…