PreprintCC0arXiv
Interior Hessian estimates for k-convex solutions of Hessian quotient equations with 2k>n
Abstract
We establish interior Hessian estimates for k convex solutions of σk(D2u)/σl(D2u)=1, where 1 ≤ l < k < n, k−l ∈ {1,2}, and 2k > n.The proof combines a concavity inequality with a pointwise doubling argument.
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BibTeX
@misc{wu2026interior,
title = {{Interior Hessian estimates for k-convex solutions of Hessian quotient equations with 2k>n}},
author = {Ke Wu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23006},
eprint = {2609.23006},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23006},
note = {CC0},
}
RIS
TY - UNPB
TI - Interior Hessian estimates for k-convex solutions of Hessian quotient equations with 2k>n
AU - Ke Wu
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.23006
UR - https://arxiv.org/abs/2609.23006
AB - We establish interior Hessian estimates for k convex solutions of σ_k(D^2u)/σ_l(D^2u)=1, where 1 ≤ l < k < n, k−l ∈ {1,2}, and 2k > n.The proof combines a concavity inequality with a pointwise doubling argument.
ER -