The Dirichlet problem for the minimal surface system in arbitrary dimensions and codimensions

DOI10.1002/cpa.10117zbMath1071.35050OpenAlexW2027596996MaRDI QIDQ4456143

Mu-Tao Wang

Publication date: 15 March 2004

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.10117

zbMATH Keywords

Dirichlet problemminimal surface

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Minimal surfaces and optimization (49Q05) Nonlinear elliptic equations (35J60)

Related Items (12)

Stability property and Dirichlet problem for translating solitons ⋮ Existence and non-existence of minimal graphs ⋮ Partial regularity for Lipschitz solutions to the minimal surface system ⋮ Stability of self-similar solutions to geometric flows ⋮ Translating solitons of mean curvature flow of noncompact submanifolds ⋮ Multiple solutions for the nonparametric Plateau problem within the Euclidean space \(\mathbb R^p\) of arbitrary dimension ⋮ HOW LARGE IS THE SHADOW OF A SYMPLECTIC BALL? ⋮ Minimal cones and self-expanding solutions for mean curvature flows ⋮ Minimal submanifolds of higher codimension ⋮ Translating solutions of the nonparametric mean curvature flow with nonzero Neumann boundary data in product manifold \(M^n \times \mathbb{R}\) ⋮ Minimal surface systems, maximal surface systems and special Lagrangian equations ⋮ Minimal graphs and differential inclusions

Cites Work

• Elliptic Partial Differential Equations of Second Order
• Geometric P.D.E.'s with isolated singularities.
• The Dirichlet problem for the minimal surface equation in higher dimensions.
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