Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three

Tianling Jin, Ali Maalaoui, Luca Martinazzi +1

We study conformal metrics on $R^3$, i.e., metrics of the form $g_u=e^{2u}|dx{|}^2$, which have constant $Q$-curvature and finite volume. This is equivalent to studying the non-local…