New sign-changing solutions to the Hénon problem in dimension $2$

Francesca Gladiali, Pingping Yang

In this paper, we construct new sign-changing solutions for the Hénon problem \begin{equation*} \begin{cases} -Δu= |x|^α |u|^{p-1}u,\,\,\,\text{in}\,\,\, Ω, \\[1mm] u=0,\,\,\,\,\,\…