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arXiv · 2608.29392

A Liouville type rigidity result for entire solutions of the $k$-Hessian equation

Bin Wang
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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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Bin Wang. 2026-08-29. A Liouville type rigidity result for entire solutions of the $k$-Hessian equation. https://arxiv.org/abs/2608.29392

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