A maximum principle at infinity for minimal surfaces and applications

DOI10.1215/S0012-7094-88-05736-5zbMath0667.49024MaRDI QIDQ1117451

Harold Rosenberg, Rémi Langevin

Publication date: 1988

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

minimal surfacescatenoidexterior Plateau problem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (17)

Maximum principle at infinity for complete minimal surfaces in flat 3-manifols ⋮ Le problème de Dirichlet pour l'équation des surfaces minimales sur des domaines non bornés ⋮ The global theory of doubly periodic minimal surfaces ⋮ Embedded minimal surfaces: Forces, topology and symmetries ⋮ Symmetry and uniqueness of parabolic affine spheres ⋮ Hedgehogs and area of order 2 ⋮ On singly-periodic minimal surfaces with planar ends ⋮ Remarques sur le problème extérieur de Plateau. (Remarks on the exterior problem of Plateau) ⋮ Limits of minimal surfaces and Scherk's fifth surface ⋮ The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus ⋮ Capillary surfaces arising in singular perturbation problems ⋮ The strong halfspace theorem for minimal surfaces ⋮ The classical theory of minimal surfaces ⋮ Stationary isothermic surfaces and uniformly dense domains ⋮ A bound for minimal graphs with a normal at infinity ⋮ Some uniqueness and nonexistence theorems for embedded minimal surfaces ⋮ On solutions of the exterior Dirichlet problem for the minimal surface equation

Cites Work

• Complete minimal surfaces and minimal herissons
• A survey of the geometric results in the classical theory of minimal surfaces
• Unnamed Item
• Unnamed Item

This page was built for publication: A maximum principle at infinity for minimal surfaces and applications