A note on radial solutions to the critical Lane-Emden equation with a variable coefficient

Daisuke Naimen, Futoshi Takahashi

In this note, we consider the following problem, \begin{equation*} \begin{cases} -Δu=(1+g(x))u^{\frac{N+2}{N-2}},\ u>0\text{ in }B,\\ u=0\text{ on }\partial B, \end{cases} \end{equ…