Explicit gradient estimates for minimal Lagrangian surfaces of dimension two

2007/08/09 by Micah Warren, Yu Yuan, Warren, Micah +1 · 3 citations
Mathematics · #35J60 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #math.AP #math.DG #msc:35J60

paper · pdf · doi:10.48550/arxiv.0708.1329

14 pages

arxiv created 2007/08/09 · openalex publication_date 2007/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive explicit, uniform, a priori interior Hessian and gradient estimates for special Lagrangian equations of all phases in dimension two.

Citations

• A Liouville type theorem for special Lagrangian Equations with constraints

Cited by

• Doubling and the two-dimensional critical valued Lagrangian phase
• Optimal Regularity for Hölder continuous Hamiltonian Stationary Lagrangian graphs
• Semi-convex viscosity solutions of the special Lagrangian equation

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