LIMITATIONS ON PRESCRIBING THE HOPF DIFFERENTIAL FOR MINIMAL SURFACES IN H3

DOI10.1081/PDE-120016166zbMath1062.35023MaRDI QIDQ4796790

John A. Velling

Publication date: 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

constant mean curvatureHyperbolic space

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Unnamed Item
• On the inequality \(\Delta u \geqq f (u)\)
• Some function theoretic properties of the Gauss map for hyperbolic complete minimal surfaces
• Existence and uniqueness of complete constant mean curvature surfaces at infinity of \({\mathbb{H}}^3\)