Capillary John ellipsoid theorem with applications to capillary curvature problems

Jinrong Hu, Bo Yang, Yingxiang Hu

In this paper, we apply a capillary John ellipsoid theorem for capillary convex bodies in the Euclidean half-space $\overline{{\mathbb{R}}_{+}^{n+1}}$. This theorem yields a non-coll…