Infinitely many nonradial singular solutions of $\Delta u+e^u=0$ in ${\mathbb{R}}^N\backslash \{0\}$, $4\le N\le 10$

Yasuhito Miyamoto

We construct countably infinitely many nonradial singular solutions of the problem \[ Δu+e^u=0\ \ \textrm{in}\ \ \mathbb{R}^N\backslash\{0\},\ \ 4\le N\le 10 \] of the form \[ u(r,…