Extremising eigenvalues of the GJMS operators in a fixed conformal class

Emmanuel Humbert, Romain Petrides, Bruno Premoselli

Let $(M,g)$ be a closed Riemannian manifold of dimension $n\ge 3$. If $s$ is a positive integer satisfying $2s<n$, we let $P_g^s$ be the GJMS operator of order $2s$ in $M$. We inv…