On the Lagrangian minimal surface equation and related problems

zbMATH Open1320.53070arXiv1108.0148MaRDI QIDQ5416202

Simon Brendle

Publication date: 19 May 2014

Abstract: We give a survey of various existence results for minimal Lagrangian graphs. We also discuss the mean curvature flow for Lagrangian graphs.

Full work available at URL: https://arxiv.org/abs/1108.0148

zbMATH Keywords

mean curvature flowminimal Lagrangian graphs

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Calibrations and calibrated geometries (53C38)

Related Items (4)

A Bernstein problem for special Lagrangian equations ⋮ A duality result between the minimal surface equation and the maximal surface equation ⋮ Unnamed Item ⋮ The geometric structure of solutions to the two-valued minimal surface equation

Recommendations

• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Some nonexistence results for the minimal surface equation 👍 👎
• On a free boundary problem for minimal surfaces 👍 👎
• Linearization and explicit solutions of the minimal surface equation 👍 👎
• Entire solutions of the minimal surface equation 👍 👎
• On solutions of the exterior Dirichlet problem for the minimal surface equation 👍 👎
• On solutions of the singular minimal surface equation 👍 👎
• On a free boundary problem and minimal surfaces 👍 👎

This page was built for publication: On the Lagrangian minimal surface equation and related problems