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A priori interior estimates for special Lagrangian curvature equations

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arxiv 2407.15159 v1 pith:CJXK7UPI submitted 2024-07-21 math.AP math.DG

Guohuan Qiu , Xingchen Zhou This is my paper · ORCID
classification math.APmath.DG
keywords curvatureestimatesinteriorprioriequationslagrangianspecialadditionally
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We establish a priori interior curvature estimates for the special Lagrangian curvature equations in both the critical phase and convex case. Additionally, we prove a priori interior gradient estimates for any constant phases.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A singular profile for the relativistic heat cost and the special Lagrangian curvature equation

    math.AP 2026-07 accept novelty 7.0 of 10

    An explicit radial generalized solution of the relativistic Monge–Ampère equation is exactly C^{1,1/(2n-1)}, and in 2D this yields smooth special-Lagrangian graphs converging to a C^{1,1/3} limit.

  2. Removing singularities for fully nonlinear PDEs

    math.AP 2024-11 conditional novelty 6.0 of 10

    Half-line singularities of viscosity solutions are removable for fully nonlinear elliptic PDEs with a Jacobi inequality, proven by a doubling argument; the single-side version is new.

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