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A Liouville type rigidity result for entire solutions of the k-Hessian equation
Abstract
In this note, we prove a Liouville type rigidity result for smooth entire solutions of the k-Hessian equation. The proof makes use of a concavity inequality for the k-Hessian operator.
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BibTeX
@misc{wang2026liouville,
title = {{A Liouville type rigidity result for entire solutions of the $k$-Hessian equation}},
author = {Bin Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.29392},
eprint = {2608.29392},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29392},
}
RIS
TY - UNPB
TI - A Liouville type rigidity result for entire solutions of the k-Hessian equation
AU - Bin Wang
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2608.29392
UR - https://arxiv.org/abs/2608.29392
AB - In this note, we prove a Liouville type rigidity result for smooth entire solutions of the k-Hessian equation. The proof makes use of a concavity inequality for the k-Hessian operator.
ER -