Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions

Denis Bonheure, Christopher Grumiau, Christophe Troestler

Assuming $B_R$ is a ball in ${\mathbb{R}}^N$, we analyze the positive solutions of the problem \[ \begin{cases} -Δu+u= |u|^{p-2}u, &\text{ in } B_{R},\newline \partial_νu=0,&\text…