On the Lagrangian minimal surface equation and related problems
S. Brendle
TL;DR
This paper surveys the existence of minimal Lagrangian graphs and explores the mean curvature flow associated with them, highlighting key results and open problems in the field.
Contribution
It provides a comprehensive overview of existence results and discusses the dynamics of mean curvature flow for Lagrangian graphs.
Findings
Summarizes key existence theorems for minimal Lagrangian graphs.
Analyzes the behavior of mean curvature flow in the Lagrangian setting.
Identifies open problems and future research directions.
Abstract
We give a survey of various existence results for minimal Lagrangian graphs. We also discuss the mean curvature flow for Lagrangian graphs.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Nonlinear Partial Differential Equations