The Liouville theorem for Sum Hessian equations in half spaces

The Liouville theorem for Sum Hessian equations in half spaces

In this paper, we consider the Liouville theorem for k-convex solutions to Sum Hessian equations in half spaces. The key is to show the Pogorelov type estimate up to the flat boundary.

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Veröffentlicht in:Nonlinear analysis 2025-02, Vol.251, p.113692, Article 113692
Hauptverfasser: Jia, Xiaobiao, Ma, Shanshan
Format: Artikel
Sprache:eng
Schlagworte:
Liouville theorem
Pogorelov type estimate
Sum Hessian equation
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Zusammenfassung:In this paper, we consider the Liouville theorem for k-convex solutions to Sum Hessian equations in half spaces. The key is to show the Pogorelov type estimate up to the flat boundary.
ISSN:0362-546X
DOI:10.1016/j.na.2024.113692