A critical phenomenon for sublinear elliptic equations in cone-like domains

Vladimir Kondratiev, Vitali Liskevich, Vitaly Moroz +1

We study positive supersolutions to an elliptic equation $(\ast )$: $-\Delta u=c|x{|}^{-s}{u}^p$, $p,s\in \mathbf{R}$ in cone-like domains in ${\mathbf{R}}^{\mathbf{N}}$ ($N\ge 2$). We prove that in the sublinear case…