Proof of the Bonheure-Noris-Weth conjecture on oscillatory radial solutions of Neumann problems

Ruyun Ma, Tianlan Chen, Yanqiong Lu

Let $B_1$ be the unit ball in ${\mathbb{R}}^N$ with $N\ge 2$. Let $f\in C^1([0,\infty ),\mathbb{R})$, $f(0)=0$, $f(β) = β, \ f(s)<s\ \text{for}\ s\in (0,β), \ f(s)>s\ \text{for}\…