2 problems

Let $X$ be a regular scheme. Subadditivity conjecture. For divisors $\Delta_1$ and $\Delta_2$ on $X$, one has … This is the mixed-characteristic analogue of subadditivity for multi…

Let $\rho_1,\rho_2\in L^1(\mathbb{R}^3,\mathbb{R}_+)$ with $\sqrt{\rho_1},\sqrt{\rho_2}\in H^1(\mathbb{R}^3)$, and let $E$ be the density-functional energy. For…