Radial solutions for the bilaplacian equation with vanishing or singular radial potentials

Marino Badiale, Stefano Greco, Sergio Rolando

Given three measurable functions $V\left(r\right)\ge 0$, $K\left(r\right)>0$ and $Q\left(r\right)\ge 0$, $r>0$, we consider the bilaplacian equation \[ Δ^2 u+V(|x|)u=K(|x|)f(u…