The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds

Xuezhang Chen, Yuping Ruan, Liming Sun

The Han-Li conjecture states that: Let $(M,g_0)$ be an $n$-dimensional $(n\ge 3)$ smooth compact Riemannian manifold with boundary having positive (generalized) Yamabe constant an…