An extension to a Liouville theorem on degenerate Monge–Ampère equations in half spaces

Abstract In this paper, we investigate the asymptotic behavior as infinity of a class of degenerate Monge–Ampère equations in half spaces. Meanwhile, we establish the Schauder estimates on a class of degenerate linear elliptic equations.

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Publication Details

Journal
Mathematische Nachrichten
Published
2025-08-17
DOI
https://doi.org/10.1002/mana.70030
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00

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article

An extension to a Liouville theorem on degenerate Monge–Ampère equations in half spaces

Xiaobiao Jia
Mathematische Nachrichten
Geometry and complex manifolds
article

An extension to a Liouville theorem on degenerate Monge–Ampère equations in half spaces

Xiaobiao Jia
article en

Abstract

Abstract In this paper, we investigate the asymptotic behavior as infinity of a class of degenerate Monge–Ampère equations in half spaces. Meanwhile, we establish the Schauder estimates on a class of degenerate linear elliptic equations.

Mathematische NachrichtenVol. 298(9)
North China University of Water Resources and Electric Power (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 73%
Geometry and complex manifolds
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An extension to a Liouville theorem on degenerate Monge–Ampère equations in half spaces — Xiaobiao Jia · Mathematische Nachrichten (2025) | TGRS Research Map | TGRS