2 problems

Let $\chi>0$, and let $\rho_{HLS,\lambda^*,c^*}\in{\mathcal Y}$ be the density whose parameters $(\lambda^*,c^*)$ are given by the stated parameter relation. Instability conjecture…

Let $\chi>0$, $k\in(-N,0)$, and $m=2N/(2N+k)$ in dimension $N\geq1$. Assume that the initial datum $\rho_0\in{\mathcal Y}$ is radially symmetric. Global-existence-versus-blow-up co…