Shaolin Chen

activity

20122022

most citedThe Schwarz type Lemmas and the Landau type theorem of mappings satisfying Poisson's equations

3 citations · 6 across the 11 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.CV2019

On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations

Shaolin Chen, David Kalaj

Suppose that $f$ is a $K$ -quasiconformal ( $(K, K^{'})$ -quasiconformal resp.) self-mapping of the unit disk $D$ , which satisfies the following: $(1)$ the inhomogeneous polyharm…

math.CV2019

Modulus of continuity and Heinz-Schwarz type inequalities of solutions to biharmonic equations

Shaolin Chen

For positive integers $n \geq 2$ and $m \geq 1$ , suppose that function $f \in C^{4} (B^{n}, R^{m})$ satisfying the following: $(1)$ the inhomogeneous biharmonic…

math.CV2019

The boundary behaviour of $K$ -quasiconformal harmonic mappings

Shaolin Chen, Saminathan Ponnusamy

In this article, we first discuss the Lipschitz characteristic and the linear measure distortion of $K$ -quasiconformal harmonic mappings. Then we give some characterizations of the…

math.CV2019★ 1 cited

Lengths, area and modulus of continuity of some classes of complex-valued functions

Shaolin Chen

In this paper, we discuss the modulus of continuity of solutions to Poisson's equation, and give bounds of length and area distortion for some classes of $K$ -quasiconformal mapping…

On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations

Modulus of continuity and Heinz-Schwarz type inequalities of solutions to biharmonic equations

The boundary behaviour of K-quasiconformal harmonic mappings

Lengths, area and modulus of continuity of some classes of complex-valued functions

The boundary behaviour of $K$ -quasiconformal harmonic mappings