Special Lagrangian Equations
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Publication:3300615
DOI10.1007/978-3-030-34953-0_21zbMath1444.35014OpenAlexW2283721285MaRDI QIDQ3300615
Publication date: 29 July 2020
Published in: Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-34953-0_21
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Calibrations and calibrated geometries (53C38) Entire solutions to PDEs (35B08) Parabolic Monge-Ampère equations (35K96) Monge-Ampère equations (35J96) Flows related to mean curvature (53E10)
Related Items
Hessian estimates to special Lagrangian equation on general phases with constraints, Hyperbolic mean curvature flow for Lagrangian graphs: one dimensional case, Interior $C^2$ estimate for Monge-Ampère equation in dimension two
Cites Work
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- Lagrangian mean curvature flow for entire Lipschitz graphs. II
- Singular solution to special Lagrangian equations
- Uniqueness of unbounded solutions of the Lagrangian mean curvature flow equation for graphs
- A Liouville problem for the sigma-2 equation
- Calibrated geometries
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- A Bernstein problem for special Lagrangian equations
- Some interior regularity results for solutions of Hessian equations
- Mean curvature flows of Lagrangians submanifolds with convex potentials.
- Angle theorems for the Lagrangian mean curvature flow
- Explicit gradient estimates for minimal Lagrangian surfaces of dimension two
- New estimates for equations of minimal surface type
- Lagrangian mean curvature flow for entire Lipschitz graphs
- The rigidity theorems for Lagrangian self-shrinkers
- On elliptic Monge-Ampère equations and Weyl's embedding problem
- Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
- Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems
- Rigidity of entire self-shrinking solutions to curvature flows
- Rigidity of entire self-shrinking solutions to Kähler-Ricci flow on the complex plane
- A Priori Estimates for Lagrangian Mean Curvature Flows
- Nonpolynomial entire solutions to σkequations
- Global solutions to special Lagrangian equations
- Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase
- Hessian estimates for the sigma‐2 equationin dimension 3
- A priori estimate for convex solutions to special Lagrangian equations and its application
- Liouville property and regularity of a Hessian quotient equation
- A variational theory of the Hessian equation
- Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
- Rigidity of Complete Entire Self-Shrinking Solutions to Kahler-Ricci Flow
- Optimal regularity for convex strong solutions of special Lagrangian equations in dimension 3