The capillary $L_p$ dual Minkowski problem for $p>q$ in higher dimensions

Ya Gao

We prove existence and uniqueness for the capillary $L_p$ dual Minkowski problem for $p>q$ and contact angle $\theta \in (0,\frac{\pi }{2})$ in ${\mathbb{R}}^{n+1}$, $n\ge 3$. We reduce it to…