Logistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting

Kenichiro Umezu

Let $0<q<1<p$. In this study, we investigate positive solutions of the logistic elliptic equation $-\Delta u=u(1-u^{p-1})$ in a smooth bounded domain $\Omega$ of ${\mathbb{R}}^N$, $N\ge 1$, w…