期刊论文

Chen, Shaolin

英文

JOURNAL OF GEOMETRIC ANALYSIS

1050-6926

2019

29

3

2469-2491

10.1007/s12220-018-0083-6

We thank the referee for providing constructive comments and help in improving this paper. This research was partly supported by the National Natural Science Foundation of China (No. 11571216 and No. 11801159), the Science and Technology Plan Project of Hunan Province (No. 2016TP1020), the Science and Technology Plan Project of Hengyang City (2017KJ183), and the Construct Program of the Key Discipline in Hunan Province. Acknowledgements We thank the referee for providing constructive comments and help in improving this paper. This research was partly supported by the National Natural Science Foundation of China (No. 11571216 and No. 11801159), the Science and Technology Plan Project of Hunan Province (No. 2016TP1020), the Science and Technology Plan Project of Hengyang City (2017KJ183), and the Construct Program of the Key Discipline in Hunan Province.

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The purpose of this paper is to study the properties of the solutions to the inhomogeneous biharmonic equations: Δ (Δ f) = g, where g: D¯ → C is a continuous function and D¯ denotes the closure of the unit disk D in the complex plane 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 theorem. Thirdly, we discuss their Li...