Hessian estimates for saddle solutions of a special Lagrangian equation in dimension three

DOI10.1016/j.jde.2023.02.024OpenAlexW4321196240MaRDI QIDQ2696211

Xingchen Zhou

Publication date: 11 April 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2023.02.024

Mathematics Subject Classification ID

Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx) Global differential geometry (53Cxx)

Cites Work

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• Singular solution to special Lagrangian equations
• Calibrated geometries
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Hessian estimates to special Lagrangian equation on general phases with constraints
• Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems
• Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase
• A priori estimate for convex solutions to special Lagrangian equations and its application
• Liouville property and regularity of a Hessian quotient equation
• Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ
• Optimal regularity for convex strong solutions of special Lagrangian equations in dimension 3

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