3 problems

Let $thetain (0,\frac{pi}{2})$ and let $\Sigma$ be an even, smooth, strictly convex capillary hypersurface. Write $\widehat{\Sigma}$ for the region enclosed by $\Sigma$, let…

Let $\widehat{\Sigma}\in\mathcal{K}_{\theta}$ and let $\theta\in(0,\pi)$. For $z\in\operatorname{int}(\widehat{\partial\Sigma})$, write $\widehat{\Sigma}^{*}_{z}$ for the correspon…

Many-function functional Blaschke–Santaló conjecture. One has