Existence and nonexistence for the exterior Dirichlet problem for the minimal surface equation in the plane.

zbMath1074.35550MaRDI QIDQ1854053

Nickolai Kutev, Friedrich Tomi

Publication date: 26 January 2003

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

minimal surface equationexterior Dirichlet problemexistence and nonexistence results

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (9)

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 ⋮ Equations of mean curvature type on exterior domains ⋮ On the geometry of the Heisenberg group with a balanced metric ⋮ Constant mean curvature graphs on exterior domains of the hyperbolic plane ⋮ Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation ⋮ Group invariant solutions of certain partial differential equations ⋮ The Dirichlet problem for the mimimal hypersurface equation with Lipschitz continuous boundary data in a Riemannian manifold ⋮ Some existence and nonexistence theorems for compact graphs of constant mean curvature with boundary in parallel planes.

This page was built for publication: Existence and nonexistence for the exterior Dirichlet problem for the minimal surface equation in the plane.