A Bernstein problem for special Lagrangian equations in exterior domains
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Publication:2288079
DOI10.1016/j.aim.2019.106927zbMath1435.35140arXiv1709.04727OpenAlexW2994496753WikidataQ126632774 ScholiaQ126632774MaRDI QIDQ2288079
Dongsheng Li, Yu Yuan, Zhisu Li
Publication date: 17 January 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.04727
Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Monge-Ampère equations (35J96)
Related Items (13)
Asymptotic expansion and optimal symmetry of minimal gradient graph equations in dimension 2 ⋮ On the classification of symmetry reductions for the \((1+3)\)-dimensional Monge-Ampère equation ⋮ Asymptotic behavior of solutions of Monge-Ampère equations with general perturbations of boundary values ⋮ Liouville type theorems of fully nonlinear elliptic equations in half spaces ⋮ Existence of entire solutions to the Lagrangian mean curvature equations in supercritical phase ⋮ Symmetry of solutions of minimal gradient graph equations on punctured space ⋮ Asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity ⋮ Asymptotic behavior of solutions of fully nonlinear equations over exterior domains ⋮ On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations ⋮ Asymptotic expansion at infinity of solutions of Monge-Ampère type equations ⋮ The asymptotic behavior of viscosity solutions of Monge-Ampère equations in half space ⋮ Asymptotic expansion at infinity of solutions of special Lagrangian equations ⋮ Asymptotic expansion of 2-dimensional gradient graph with vanishing mean curvature at infinity
Cites Work
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- Monge-Ampère equation on exterior domains
- On isolated singularities of solutions of second order elliptic differential equations
- On certain functions with positive definite Hessian
- A Liouville problem for the sigma-2 equation
- Asymptotic behaviour of minimal graphs over exterior domains
- On the radial behavior of minimal surfaces and the uniqueness of their tangent cones
- Harmonic mappings and minimal submanifolds
- Some rigidity theorems for minimal submanifolds of the sphere
- An extension of a theorem by K. Jörgens and a maximum principle at infinity for parabolic affine spheres
- A Liouville-type theorem for the equation of special Lagrangian manifolds
- A Bernstein problem for special Lagrangian equations
- Symmetry and uniqueness of parabolic affine spheres
- Explicit gradient estimates for minimal Lagrangian surfaces of dimension two
- Isolated singularities of minimal surfaces
- Homogeneous Solutions of Fully Nonlinear Elliptic Equations in Four Dimensions
- Nonpolynomial entire solutions to σkequations
- 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
- A priori estimate for convex solutions to special Lagrangian equations and its application
- Linearity of homogeneous order-one solutions to elliptic equations in dimension three
- An extension to a theorem of Jörgens, Calabi, and Pogorelov
- Liouville property and regularity of a Hessian quotient equation
- Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
- A priori estimates for solutions of fully nonlinear special Lagrangian equations
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