Pith. sign in

REVIEW 1 cited by

Hessian estimates for the sigma-2 equation in dimension four

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 2305.12587 v2 pith:BHXMAX4A submitted 2023-05-21 math.AP

Ravi Shankar , Yu Yuan This is my paper · ORCID
classification math.AP
keywords hessiandimensionequationestimatesfourinteriorconditioncorresponding
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We derive a priori interior Hessian estimates and interior regularity for the $\sigma_2$ equation in dimension four. Our method provides respectively a new proof for the corresponding three dimensional results and a Hessian estimate for smooth solutions satisfying a dynamic semi-convexity condition in higher $n\ge 5$ dimensions.

Discussion (0). Continue with ORCID 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. 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