k-Hessian方程整解的刘维尔型刚性结果
A Liouville type rigidity result for entire solutions of the $k$-Hessian equation
- Institute for Theoretical Sciences, Westlake University(西湖大学理论科学研究院)
机构由 AI 辅助整理,请以论文原文为准。
AI总结:
该研究针对k-Hessian方程的光滑整解,运用k-Hessian算子的凹性不等式,证明了其刘维尔型刚性结果
AI中文摘要:
本文证明k-Hessian方程光滑整解的刘维尔型刚性结果,证明利用了k-Hessian算子的一个凹性不等式
英文摘要:
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.