Stability of Hardy-Sobolev Inequality

Souptik Chakraborty

Given $N\ge 3,$ we consider the critical Hardy-Sobolev equation $-\Delta u-\frac{\gamma }{|x{|}^2}u=\frac{|u{|}^{2^{\ast }(s)-2}u}{|x{|}^s}$ in ${\mathbb{R}}^N\setminus \{0\},$ where $0<γ<γ_{H}:=\left(\frac{…