On the existence threshold for positive solutions of p-laplacian equations with a concave-convex nonlinearity

Fernando Charro, Enea Parini

We study the following boundary value problem with a concave-convex nonlinearity: \begin{equation*} \left\{ \begin{array}{r c l l} -Δ_p u & = & Λ\,u^{q-1}+ u^{r-1} & \textrm{in }Ω,…