Fully nonlinear logistic equations with sanctuary

Isabeau Birindelli, Giulio Galise, Fabiana Leoni

For the fully nonlinear stationary logistic equation $\mathcal{F}(x,D^{2}u)+\mu u=k(x)u^p$ with $p>1$ and $k(x)\ge 0$, in a bounded domain with Dirichlet boundary condition, we determ…