Radial graphs of constant mean curvature and doubly connected minimal surfaces with prescribed boundary
The authors investigate the existence and uniqueness of compact surfaces of constant mean curvature in \(\mathbb{R}^3\), with prescribed boundary, which are given as radial graphs over some domain in the sphere. The principal result establishes the existence of a minimal radial anullus spanning to convex given curves in parallel planes of \(\mathbb{R}^3\).
scientific article; zbMATH DE number 1925042