Pith. sign in

REVIEW 1 cited by

Pogorelov type $C^2$ estimates for sum Hessian 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 2504.06711 v1 pith:FUXSDJ47 submitted 2025-04-09 math.AP

Pengfei Li , Changyu Ren This is my paper
classification math.AP
keywords boundedequationsestimateshessianpogorelovtypeadmissiblebelow
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper, We establish Pogorelov type $C^2$ estimates for the admissible solutions with $\sigma_k(D^2u)$ bounded from below of Sum Hessian equations. We also proved the lower bounded condition can be removed when $k = n$.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Hypersurfaces of constant sum Hessian curvature in Hyperbolic space

    math.DG 2025-07 conditional novelty 5.0 of 10

    For the constant sum Hessian curvature equation in hyperbolic space, a curvature estimate and conditional existence are proved under an extra lower-bound assumption on sigma_n; the unconditional problem remains open.

Pith tools