Logistic elliptic and parabolic problem for the fractional $p$-Laplacian

Loïc Constantin, Carlos Alberto Santos, Guillaume Warnault

In this paper we prove existence, uniqueness of weak solutions of the following nonlocal nonlinear logistic equation \begin{equation*} \begin{cases} (-Δ)_p^s u_λ=λu_λ^q - b(x)u…