Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.29392

Author: Wang, Bin

Institution: Westlake University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: China Postdoctoral Science Foundation

OpenAlex ID: W7204902679

Cites: 6

Cited by: 5

Related to: 10