2018/01/14 by Shaolin Chen, Chen, Shaolin, Peijin Li +3
Mathematics · #31A05 #31A30 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.1801.04507
openalex publication_date 2018/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this paper is to study the properties of the solutions to the biharmonic equations: Δ(Δf)=g, where g: \mathbbD→ℂ is a continuous function and \mathbbD denotes the closure of the unit disk \mathbbD 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 Lipschitz type property.