Stability estimate for the Lane-Emden inequality

Eric Carlen, Mathieu Lewin, Elliott H. Lieb +1

The Lane-Emden inequality controls ${\iint }_{{\mathbb{R}}^{2d}}\rho (x)\rho (y)|x-y{|}^{-\lambda }dxdy$ in terms of the $L^1$ and $L^p$ norms of $\rho$. We provide a remainder estimate for this inequa…