2 problems

Let $s>0$, $d\geq 1$, and $\lambda>0$. For the Lieb–Thirring inequality with kinetic energy $(-\Delta)^s$ and repulsive interaction $\lambda\lvert x_i-x_j\rvert^{-2s}$, let…

Hayashi–Ozawa sharpness conjecture. This mass condition should also be sharp for the derivative nonlinear Schrödinger equation: for every $\rho\geq 2\pi$, there should exist…