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Schwarz-Type Lemma, Landau-Type Theorem, and Lipschitz-Type Space of Solutions to Inhomogeneous Biharmonic Equations

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成果类型:
期刊论文
作者:
Chen, Shaolin*;Li, Peijin;Wang, Xiantao
通讯作者:
Chen, Shaolin
作者机构:
[Chen, Shaolin] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421008, Hunan, Peoples R China.
[Li, Peijin] Hunan First Normal Univ, Dept Math, Changsha 410205, Hunan, Peoples R China.
[Wang, Xiantao] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China.
通讯机构:
[Chen, Shaolin] H
Hengyang Normal Univ, Coll Math & Stat, Hengyang 421008, Hunan, Peoples R China.
语种:
英文
关键词:
Schwarz's Lemma;Boundary Schwarz's Lemma;Landau theorem;Solution;Inhomogeneous biharmonic equation
期刊:
JOURNAL OF GEOMETRIC ANALYSIS
ISSN:
1050-6926
年:
2019
卷:
29
期:
3
页码:
2469-2491
基金类别:
the National Natural Science Foundation of China and the Science and Technology Plan Project of Hunan Province#&#&#No. 11571216#&#&#No. 11401184 the National Natural Science Foundation of China and the Science and Technology Plan Project of Hunan Province#&#&#No. 2016TP1020 the National Natural Science Foundation of China#&#&#No. 11571216
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
The purpose of this paper is to study the properties of the solutions to the inhomogeneous biharmonic equations: $$\Delta (\Delta f)=g$$ , where g : $$\overline{\mathbb {D}}\rightarrow \mathbb {C}$$ is a continuous function and $$\overline{\mathbb {D}}$$ denotes the closure of the unit disk $$\mathbb {D}$$ in the complex plane $$\mathbb {C}$$ . In fact, we establish the following properties for those solutions: Firstly, we establish the Schwarz-type lemma. Secondly, by using the obtained results, we get a Landau-type th...

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