A Hopf's lemma and a strong minimum principle for the fractional $p$-Laplacian

Leandro M. Del Pezzo, Alexander Quaas

Our propose here is to provide a Hopf Lemma and a strong minimum principle for week supersolutions of \[ (-Δ_p)^s u= c(x)|u|^{p-2}u \quad \text{ in } Ω\] where $\Omega$ is an open set o…