Nonexistence of solutions in $(0,1)$ for K-P-P-type equations for all $d\ge 1$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76370Consider the KPP-type equation of the form $Δu+f(u)=0$, where $f:[0,1] \to \mathbb R_{+}$ is a concave function. We prove for arbitrary dimensions that there is no solution bounded in $(0,1)$. The significance of this result from the point of view of probability theory is also discussed.6 pagesAnalysis of PDEsProbability35J60, 35J65; Secondary: 60J80Nonexistence of solutions in $(0,1)$ for K-P-P-type equations for all $d\ge 1$text