A limit equation associated to the solvability of the vacuum Einstein constraint equations using the conformal method

Mattias Dahl, Romain Gicquaud, Emmanuel Humbert

Let $(M,g)$ be a compact Riemannian manifold on which a trace-free and divergence-free $\sigma \in W^{1,p}$ and a positive function $\tau \in W^{1,p}$, $p>n$, are fixed. In this paper, we…