Explicit gradient estimates for minimal Lagrangian surfaces of dimension two
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Publication:2391119
DOI10.1007/s00209-008-0403-9zbMath1181.53042arXiv0708.1329OpenAlexW2140217595MaRDI QIDQ2391119
Publication date: 24 July 2009
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.1329
Stability in context of PDEs (35B35) Lagrangian submanifolds; Maslov index (53D12) Calibrations and calibrated geometries (53C38)
Related Items (10)
A note on the two-dimensional Lagrangian mean curvature equation ⋮ Liouville type theorems and Hessian estimates for special Lagrangian equations ⋮ Regularity for convex viscosity solutions of special Lagrangian equation ⋮ Power convexity of solutions to a special Lagrangian equation in dimension two ⋮ Special Lagrangian Equations ⋮ Hessian estimates for the sigma‐2 equationin dimension 3 ⋮ A Bernstein problem for special Lagrangian equations in exterior domains ⋮ A priori estimate for convex solutions to special Lagrangian equations and its application ⋮ Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions ⋮ Regularity of critical points of the volume functional for Lagrangian submanifolds
Cites Work
- On certain nonlinear elliptic differential equations and univalent mappings
- Calibrated geometries
- Compactness and gradient bounds for solutions of the mean curvature system in two independent variables
- A Bernstein problem for special Lagrangian equations
- On elliptic Monge-Ampère equations and Weyl's embedding problem
- Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
- Global solutions to special Lagrangian equations
- A Liouville Type Theorem for Special Lagrangian Equations with Constraints
- Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase
- Hessian estimates for the sigma‐2 equationin dimension 3
- Interior gradient bounds for solutions to the minimal surface system
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