A priori estimate for convex solutions to special Lagrangian equations and its application

DOI10.1002/cpa.20261zbMath1171.35340OpenAlexW2166166211MaRDI QIDQ3617387

Chen, Jingyi, Micah W. Warren, Yu Yuan

Publication date: 23 March 2009

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.20261

zbMATH Keywords

interior Hessian estimatescontinuous viscosity solutions

Mathematics Subject Classification ID

Related Items (18)

A note on the two-dimensional Lagrangian mean curvature equation ⋮ A special Lagrangian type equation for holomorphic line bundles ⋮ Hessian estimates to special Lagrangian equation on general phases with constraints ⋮ The exterior Dirichlet problem for special Lagrangian equations in dimensions \(n\leq 4\) ⋮ On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase ⋮ Liouville type theorems and Hessian estimates for special Lagrangian equations ⋮ Regularity for convex viscosity solutions of Lagrangian mean curvature equation ⋮ Regularity for convex viscosity solutions of special Lagrangian equation ⋮ The exterior Dirichlet problem for Hessian quotient equations ⋮ Hessian estimates for saddle solutions of a special Lagrangian equation in dimension three ⋮ On the exterior Dirichlet problem for Hessian quotient equations ⋮ The exterior Dirichlet problem for fully nonlinear elliptic equations related to the eigenvalues of the Hessian ⋮ Special Lagrangian Equations ⋮ Hessian estimates for Lagrangian mean curvature equation ⋮ Singular solution to special Lagrangian equations ⋮ A Bernstein problem for special Lagrangian equations in exterior domains ⋮ On the exterior Dirichlet problem for special Lagrangian equations ⋮ Regularity of critical points of the volume functional for Lagrangian submanifolds

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