PreprintarXiv licencearXiv
Interior C2,α Regularity for the Quadratic Hessian Equation
Abstract
We establish interior C2,α regularity for admissible solutions of the quadratic Hessian equation with positive Cα right-hand side on the full positive branch. The main ingredients are a quantitative large-trace propagation argument and an adaptive Dirichlet comparison method.
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BibTeX
@misc{chen2026interior,
title = {{Interior $C^2,α$ Regularity for the Quadratic Hessian Equation}},
author = {Ruosi Chen and Xingchen Zhou and Ruixuan Zhu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.29484},
eprint = {2608.29484},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29484},
}
RIS
TY - UNPB
TI - Interior C^2,α Regularity for the Quadratic Hessian Equation
AU - Ruosi Chen
AU - Xingchen Zhou
AU - Ruixuan Zhu
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2608.29484
UR - https://arxiv.org/abs/2608.29484
AB - We establish interior C^2,α regularity for admissible solutions of the quadratic Hessian equation with positive C^α right-hand side on the full positive branch. The main ingredients are a quantitative large-trace propagation argument and an adaptive Dirichlet comparison method.
ER -