Optimal regularity for convex strong solutions of special Lagrangian equations in dimension 3

DOI10.1512/iumj.2003.52.2341zbMath1145.35367OpenAlexW2047973899MaRDI QIDQ5718790

Chen, Jingyi, Ji Guang Bao

Publication date: 16 January 2006

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2003.52.2341

zbMATH Keywords

Reilly formulaoptimal regularity\(C^{1,1}\) estimatesLagrangian equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (11)

Hessian estimates to special Lagrangian equation on general phases with constraints ⋮ The exterior Dirichlet problem for special Lagrangian equations in dimensions \(n\leq 4\) ⋮ Liouville type theorems and Hessian estimates for special Lagrangian equations ⋮ Regularity for convex viscosity solutions of Lagrangian mean curvature equation ⋮ Hessian estimates for saddle solutions of a special Lagrangian equation in dimension three ⋮ 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 ⋮ The local regularity for strong solutions of the Hessian quotient equation ⋮ Hessian estimates for the sigma‐2 equationin dimension 3 ⋮ A priori estimate for convex solutions to special Lagrangian equations and its application

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