Sharp existence and classification results for nonlinear elliptic equations in ${\mathbb{R}}^N\setminus \{0\}$ with Hardy potential

Florica C. Cîrstea, Maria Fărcăşeanu

For $N\ge 3$, by the seminal paper of Brezis and Véron (Arch. Rational Mech. Anal. 75(1):1--6, 1980/81), no positive solutions of $-\Delta u+u^q=0$ in ${\mathbb{R}}^N\setminus \{0\}$ exist…