A Liouville Type Theorem for Special Lagrangian Equations with Constraints
From MaRDI portal
Publication:3518352
DOI10.1080/03605300801970986zbMath1146.35039arXiv0706.0699OpenAlexW2962828920MaRDI QIDQ3518352
Publication date: 7 August 2008
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.0699
Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Lagrangian submanifolds; Maslov index (53D12) Calibrations and calibrated geometries (53C38)
Related Items (8)
Bernstein type theorem of minimal Lagrangian graphs in quaternion Euclidean space \(H^n\) ⋮ Explicit gradient estimates for minimal Lagrangian surfaces of dimension two ⋮ Hessian estimates to special Lagrangian equation on general phases with constraints ⋮ Liouville type theorems and Hessian estimates for special Lagrangian equations ⋮ On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations ⋮ A Bernstein problem for special Lagrangian equations in exterior domains ⋮ A priori estimate for convex solutions to special Lagrangian equations and its application ⋮ On the exterior Dirichlet problem for special Lagrangian equations
Cites Work
- Unnamed Item
- Unnamed Item
- Calibrated geometries
- Harmonic mappings and minimal submanifolds
- Some rigidity theorems for minimal submanifolds of the sphere
- A Bernstein problem for special Lagrangian equations
- Bernstein type theorems for higher codimension
- Minimal varieties in Riemannian manifolds
- Global solutions to special Lagrangian equations
- Liouville property and regularity of a Hessian quotient equation
- Interior gradient bounds for solutions to the minimal surface system
- A priori estimates for solutions of fully nonlinear special Lagrangian equations
This page was built for publication: A Liouville Type Theorem for Special Lagrangian Equations with Constraints
