Pith. sign in

REVIEW 1 cited by

On the solvability for a p-k-Hessian inequality

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 2503.00895 v1 pith:I4Q7WC6N submitted 2025-03-02 math.AP

Zhenghuan Gao , Shujun Shi , Yuzhou Zhang This is my paper · ORCID
classification math.AP
keywords inequalityexponentp-k-hessiansolvabilityadmitschoosingdiscussentire
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

In this paper, we discuss the solvability of a p-k-Hessian entire inequality. We prove that the inequality with sub-lower-critical exponent admits no negative solutions. Moreover, the exponent is sharp. The proof is based on choosing suitable test functions and integrating by parts.

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. A Liouville theorem for the $2$-Hessian equation on the Heisenberg group

    math.AP 2025-09 conditional novelty 7.0 of 10

    For Q>4 and α≤2Q/(Q−4), the equation σ_2(Hess_X u)=(−u)^α on the Heisenberg group admits no negative 2-convex entire solution.

Pith tools