2 problems

Complete classification conjecture. Either $u\equiv 0$, or there exist $\lambda:=u(0)^{\frac{p}{N-p}}>0$ and $x_{0}\in\mathbb{R}^{N}$ such that

Let $u$ be a stable blow-up solution of the $L^2$-critical generalized Hartree equation, with blow-up time $T$, spatial dimension $d$, scale $L(t)$, center $x(t)$, phase parameter…