Regularity for convex viscosity solutions of special Lagrangian equation
type: Item
instance of: scholarly article
title: Regularity for convex viscosity solutions of special Lagrangian equation
zbMATH Open document ID: 1526.35096
arXiv ID: 1911.05452
author: Jingyi Chen
author: Ravi Shankar
author: Yu Yuan
published in: Communications on Pure and Applied Mathematics
publication date: 2023-10-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1911.05452
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35D40
zbMATH DE Number: 7757248
zbMATH Keywords: interior regularity
zbMATH Keywords: fully nonlinear equation
MaRDI profile type: Publication
cites work: Convex viscosity solutions and state constraints
cites work: A boundary value problem for minimal Lagrangian graphs
cites work: Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
cites work: Q4855688
cites work: A constant rank theorem for solutions of fully nonlinear elliptic equations
cites work: Lagrangian mean curvature flow for entire Lipschitz graphs. II
cites work: On the regularity of Hamiltonian stationary Lagrangian submanifolds
cites work: A priori estimate for convex solutions to special Lagrangian equations and its application
cites work: Elliptic partial differential equations of second order
cites work: Q3920268
cites work: Calibrated geometries
cites work: On elliptic Monge-Ampère equations and Weyl's embedding problem
cites work: The moduli space of special Lagrangian submanifolds
cites work: A compactness approach to Hessian estimates for special Lagrangian equations with supercritical phase
cites work: On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
cites work: Singular solution to special Lagrangian equations
cites work: Q4169389
cites work: Q4235027
cites work: Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
cites work: Boundary regularity for the Monge-Ampère and affine maximal surface equations
cites work: Regularity of generalized solutions of Monge-Ampère equations
cites work: Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems
cites work: Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
cites work: Calibrations associated to Monge-Ampère equations
cites work: A Liouville property for gradient graphs and a Bernstein problem for Hamiltonian stationary equations
cites work: Hessian estimates for the sigma‐2 equationin dimension 3
cites work: Explicit gradient estimates for minimal Lagrangian surfaces of dimension two
cites work: Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase
cites work: A priori estimates for solutions of fully nonlinear special Lagrangian equations
cites work: A Bernstein problem for special Lagrangian equations
cites work: Global solutions to special Lagrangian equations
DOI: 10.1002/CPA.22130
description: scientific article; zbMATH DE number 7757248