Pith. sign in

REVIEW 3 cited by

A priori interior estimates for special Lagrangian curvature equations

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

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
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

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

  1. Sharp Boundary Recession Criteria for the Special Lagrangian Curvature Potential Equation

    math.AP 2026-08 accept novelty 7.0 of 10

    For convex solutions of the special Lagrangian curvature potential equation, boundary curvature blows up if and only if the boundary limiting-phase gap collapses, with optimal rate δ^{-1}.

  2. 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.

  3. 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.

Pith tools