2 problems

Let $(B^{n+1},dx^2)$ be the unit ball in Euclidean $(n+1)$-space, and let $k=\frac{n+1}{2}$. Define … For $g=e^{2u}dx^2$, let $\mathcal{F}_k(g)$ denote the critical conformal primi…

The simplest model is the closed half-space $\mathbb R^n_+$ with its standard flat metric $\delta$. Let $(M,g)$ be an asymptotically flat manifold with decay rate $\tau>(n-2)/2$, a…