On solutions of the exterior Dirichlet problem for the minimal surface equation

DOI10.1016/S0294-1449(16)30211-6zbMath0820.35038MaRDI QIDQ1325255

Ernst Christoph Kuwert

Publication date: 24 May 1994

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1993__10_4_445_0

zbMATH Keywords

exterior domainsmaximum principle at infinity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50)

Related Items (4)

The Dirichlet problem for the minimal hypersurface equation on arbitrary domains of a Riemannian manifold ⋮ On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation ⋮ On the geometry of the Heisenberg group with a balanced metric ⋮ Group invariant solutions of certain partial differential equations

Cites Work

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• The maximum principle at infinity for minimal surfaces in flat three manifolds
• The structure of complete embedded surfaces with constant mean curvature
• Remarques sur le problème extérieur de Plateau. (Remarks on the exterior problem of Plateau)
• Uniqueness, symmetry, and embeddedness of minimal surfaces
• A maximum principle at infinity for minimal surfaces and applications
• The existence of embedded minimal surfaces and the problem of uniqueness
• Embedded solutions for exterior minimal surface problems
• The exterior Plateau problem
• On Harnack's theorem for elliptic differential equations
• The Dirichlet problem for the minimal surface equation in higher dimensions.

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