A uniqueness result for two-step indefinite $p$-Laplacian equations

Boscaggin, Feltrin and Zanolin conjectured that the Neumann and periodic problems associated with the equation \begin{equation*} u''+a(t)u^γ=0 \end{equation*} with a two-step indefinite weight $a(t)$ have at most one positive solution for every $γ\in\mathbb{R}\setminus\left\{-1,0,1\right\}$. W