3 problems

Let $K_d$ be the optimal constant in the kinetic-energy inequality referred to as equation (kinetic), and let $K_d^{\mathrm{one}}$ and $K_d^{\mathrm{cl}}$ be the corresponding one-…

Let $L_{\gamma,1}$ be the optimal Lieb–Thirring constant in dimension $1$, and let $L_{\gamma,1}^{\mathrm{cl}}$ denote the semiclassical constant. Lieb–Thirring conjecture in dimen…

Let $L_{\gamma,d}$ be the optimal constant in the Lieb–Thirring inequality, let $L_{\gamma,d}^{\mathrm{cl}}$ be the semiclassical constant, and let $L_{\gamma,d}^{\mathrm{one}}$ be…