Classification of the structures of stable radial solutions for semilinear elliptic equations in ${\mathbf{R}}^{\mathbf{N}}$

Yasuhito Miyamoto, Yūki Naito

We study the stability of radial solutions of the semilinear elliptic equation $\Delta u+f(u)=0$ in ${\mathbf{R}}^{\mathbf{N}}$, where $N\ge 3$ and $f$ is a general superciritical nonlinearity. We gi…